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Finding the Third Proportional to 81,578 and 167,548

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Solution

The third proportional to 81,578 and 167,548 is: 344,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,578 : 167,548 = 167,548 : x
  2. Step 2: Convert to fraction form
    81,578/167,548 = 167,548/x
  3. Step 3: Cross multiply
    81,578x = 167,548 × 167,548
  4. Step 4: Simplify right side
    81,578x = 28,072,332,304
  5. Step 5: Solve for x
    x = 28,072,332,304/81,578
  6. Step 6: Final answer
    x = 344,116.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.