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Finding the Third Proportional to 79,612 and 107,742

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Solution

The third proportional to 79,612 and 107,742 is: 145,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,612 : 107,742 = 107,742 : x
  2. Step 2: Convert to fraction form
    79,612/107,742 = 107,742/x
  3. Step 3: Cross multiply
    79,612x = 107,742 × 107,742
  4. Step 4: Simplify right side
    79,612x = 11,608,338,564
  5. Step 5: Solve for x
    x = 11,608,338,564/79,612
  6. Step 6: Final answer
    x = 145,811.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.