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Finding the Third Proportional to 126,438 and 169,665

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Solution

The third proportional to 126,438 and 169,665 is: 227,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,438 : 169,665 = 169,665 : x
  2. Step 2: Convert to fraction form
    126,438/169,665 = 169,665/x
  3. Step 3: Cross multiply
    126,438x = 169,665 × 169,665
  4. Step 4: Simplify right side
    126,438x = 28,786,212,225
  5. Step 5: Solve for x
    x = 28,786,212,225/126,438
  6. Step 6: Final answer
    x = 227,670.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.