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Finding the Third Proportional to 80,531 and 171,457

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Solution

The third proportional to 80,531 and 171,457 is: 365,045.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,531 : 171,457 = 171,457 : x
  2. Step 2: Convert to fraction form
    80,531/171,457 = 171,457/x
  3. Step 3: Cross multiply
    80,531x = 171,457 × 171,457
  4. Step 4: Simplify right side
    80,531x = 29,397,502,849
  5. Step 5: Solve for x
    x = 29,397,502,849/80,531
  6. Step 6: Final answer
    x = 365,045.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.