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Finding the Third Proportional to 83,947 and 126,729

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Solution

The third proportional to 83,947 and 126,729 is: 191,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,947 : 126,729 = 126,729 : x
  2. Step 2: Convert to fraction form
    83,947/126,729 = 126,729/x
  3. Step 3: Cross multiply
    83,947x = 126,729 × 126,729
  4. Step 4: Simplify right side
    83,947x = 16,060,239,441
  5. Step 5: Solve for x
    x = 16,060,239,441/83,947
  6. Step 6: Final answer
    x = 191,314.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.