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Finding the Third Proportional to 70,872 and 108,188

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Solution

The third proportional to 70,872 and 108,188 is: 165,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,872 : 108,188 = 108,188 : x
  2. Step 2: Convert to fraction form
    70,872/108,188 = 108,188/x
  3. Step 3: Cross multiply
    70,872x = 108,188 × 108,188
  4. Step 4: Simplify right side
    70,872x = 11,704,643,344
  5. Step 5: Solve for x
    x = 11,704,643,344/70,872
  6. Step 6: Final answer
    x = 165,151.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.