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Finding the Third Proportional to 70,540 and 95,692

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Solution

The third proportional to 70,540 and 95,692 is: 129,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,540 : 95,692 = 95,692 : x
  2. Step 2: Convert to fraction form
    70,540/95,692 = 95,692/x
  3. Step 3: Cross multiply
    70,540x = 95,692 × 95,692
  4. Step 4: Simplify right side
    70,540x = 9,156,958,864
  5. Step 5: Solve for x
    x = 9,156,958,864/70,540
  6. Step 6: Final answer
    x = 129,812.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.