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Finding the Third Proportional to 81,613 and 175,670

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Solution

The third proportional to 81,613 and 175,670 is: 378,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,613 : 175,670 = 175,670 : x
  2. Step 2: Convert to fraction form
    81,613/175,670 = 175,670/x
  3. Step 3: Cross multiply
    81,613x = 175,670 × 175,670
  4. Step 4: Simplify right side
    81,613x = 30,859,948,900
  5. Step 5: Solve for x
    x = 30,859,948,900/81,613
  6. Step 6: Final answer
    x = 378,125.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.