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Finding the Third Proportional to 427,907,381,100.75 and 932,701,553,480.28

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Solution

The third proportional to 427,907,381,100.75 and 932,701,553,480.28 is: 2,032,991,778,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,907,381,100.75 : 932,701,553,480.28 = 932,701,553,480.28 : x
  2. Step 2: Convert to fraction form
    427,907,381,100.75/932,701,553,480.28 = 932,701,553,480.28/x
  3. Step 3: Cross multiply
    427,907,381,100.75x = 932,701,553,480.28 × 932,701,553,480.28
  4. Step 4: Simplify right side
    427,907,381,100.75x = 869,932,187,864,527,622,111,232
  5. Step 5: Solve for x
    x = 869,932,187,864,527,622,111,232/427,907,381,100.75
  6. Step 6: Final answer
    x = 2,032,991,778,797.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.