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Finding the Third Proportional to 79,782 and 169,932

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Solution

The third proportional to 79,782 and 169,932 is: 361,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,782 : 169,932 = 169,932 : x
  2. Step 2: Convert to fraction form
    79,782/169,932 = 169,932/x
  3. Step 3: Cross multiply
    79,782x = 169,932 × 169,932
  4. Step 4: Simplify right side
    79,782x = 28,876,884,624
  5. Step 5: Solve for x
    x = 28,876,884,624/79,782
  6. Step 6: Final answer
    x = 361,947.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.