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Finding the Third Proportional to 108,560 and 172,313

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Solution

The third proportional to 108,560 and 172,313 is: 273,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,560 : 172,313 = 172,313 : x
  2. Step 2: Convert to fraction form
    108,560/172,313 = 172,313/x
  3. Step 3: Cross multiply
    108,560x = 172,313 × 172,313
  4. Step 4: Simplify right side
    108,560x = 29,691,769,969
  5. Step 5: Solve for x
    x = 29,691,769,969/108,560
  6. Step 6: Final answer
    x = 273,505.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.