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Finding the Third Proportional to 266,384 and 402,339

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Solution

The third proportional to 266,384 and 402,339 is: 607,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,384 : 402,339 = 402,339 : x
  2. Step 2: Convert to fraction form
    266,384/402,339 = 402,339/x
  3. Step 3: Cross multiply
    266,384x = 402,339 × 402,339
  4. Step 4: Simplify right side
    266,384x = 161,876,670,921
  5. Step 5: Solve for x
    x = 161,876,670,921/266,384
  6. Step 6: Final answer
    x = 607,681.66

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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.