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Finding the Third Proportional to 255,553,920 and 417,252,384

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Solution

The third proportional to 255,553,920 and 417,252,384 is: 681,263,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,553,920 : 417,252,384 = 417,252,384 : x
  2. Step 2: Convert to fraction form
    255,553,920/417,252,384 = 417,252,384/x
  3. Step 3: Cross multiply
    255,553,920x = 417,252,384 × 417,252,384
  4. Step 4: Simplify right side
    255,553,920x = 174,099,551,953,683,456
  5. Step 5: Solve for x
    x = 174,099,551,953,683,456/255,553,920
  6. Step 6: Final answer
    x = 681,263,476.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.