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Finding the Third Proportional to 497,788,224 and 717,032,448

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Solution

The third proportional to 497,788,224 and 717,032,448 is: 1,032,839,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,788,224 : 717,032,448 = 717,032,448 : x
  2. Step 2: Convert to fraction form
    497,788,224/717,032,448 = 717,032,448/x
  3. Step 3: Cross multiply
    497,788,224x = 717,032,448 × 717,032,448
  4. Step 4: Simplify right side
    497,788,224x = 514,135,531,484,872,704
  5. Step 5: Solve for x
    x = 514,135,531,484,872,704/497,788,224
  6. Step 6: Final answer
    x = 1,032,839,883.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.