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Finding the Third Proportional to 205,321,398 and 427,627,038

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Solution

The third proportional to 205,321,398 and 427,627,038 is: 890,627,501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,321,398 : 427,627,038 = 427,627,038 : x
  2. Step 2: Convert to fraction form
    205,321,398/427,627,038 = 427,627,038/x
  3. Step 3: Cross multiply
    205,321,398x = 427,627,038 × 427,627,038
  4. Step 4: Simplify right side
    205,321,398x = 182,864,883,628,653,440
  5. Step 5: Solve for x
    x = 182,864,883,628,653,440/205,321,398
  6. Step 6: Final answer
    x = 890,627,501.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.