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Finding the Third Proportional to 266,044 and 391,287

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Solution

The third proportional to 266,044 and 391,287 is: 575,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,044 : 391,287 = 391,287 : x
  2. Step 2: Convert to fraction form
    266,044/391,287 = 391,287/x
  3. Step 3: Cross multiply
    266,044x = 391,287 × 391,287
  4. Step 4: Simplify right side
    266,044x = 153,105,516,369
  5. Step 5: Solve for x
    x = 153,105,516,369/266,044
  6. Step 6: Final answer
    x = 575,489.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.