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Finding the Third Proportional to 657,338 and 990,327

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Solution

The third proportional to 657,338 and 990,327 is: 1,491,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,338 : 990,327 = 990,327 : x
  2. Step 2: Convert to fraction form
    657,338/990,327 = 990,327/x
  3. Step 3: Cross multiply
    657,338x = 990,327 × 990,327
  4. Step 4: Simplify right side
    657,338x = 980,747,566,929
  5. Step 5: Solve for x
    x = 980,747,566,929/657,338
  6. Step 6: Final answer
    x = 1,491,998.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.