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Finding the Third Proportional to 71,051 and 109,493

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Solution

The third proportional to 71,051 and 109,493 is: 168,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,051 : 109,493 = 109,493 : x
  2. Step 2: Convert to fraction form
    71,051/109,493 = 109,493/x
  3. Step 3: Cross multiply
    71,051x = 109,493 × 109,493
  4. Step 4: Simplify right side
    71,051x = 11,988,717,049
  5. Step 5: Solve for x
    x = 11,988,717,049/71,051
  6. Step 6: Final answer
    x = 168,733.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.