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Finding the Third Proportional to 266,082 and 391,326

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Solution

The third proportional to 266,082 and 391,326 is: 575,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,082 : 391,326 = 391,326 : x
  2. Step 2: Convert to fraction form
    266,082/391,326 = 391,326/x
  3. Step 3: Cross multiply
    266,082x = 391,326 × 391,326
  4. Step 4: Simplify right side
    266,082x = 153,136,038,276
  5. Step 5: Solve for x
    x = 153,136,038,276/266,082
  6. Step 6: Final answer
    x = 575,521.98

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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.