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Finding the Third Proportional to 266,390 and 406,233

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Solution

The third proportional to 266,390 and 406,233 is: 619,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,390 : 406,233 = 406,233 : x
  2. Step 2: Convert to fraction form
    266,390/406,233 = 406,233/x
  3. Step 3: Cross multiply
    266,390x = 406,233 × 406,233
  4. Step 4: Simplify right side
    266,390x = 165,025,250,289
  5. Step 5: Solve for x
    x = 165,025,250,289/266,390
  6. Step 6: Final answer
    x = 619,487.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.