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Finding the Third Proportional to 83,416.50 and 129,272.25

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Solution

The third proportional to 83,416.50 and 129,272.25 is: 200,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,416.50 : 129,272.25 = 129,272.25 : x
  2. Step 2: Convert to fraction form
    83,416.50/129,272.25 = 129,272.25/x
  3. Step 3: Cross multiply
    83,416.50x = 129,272.25 × 129,272.25
  4. Step 4: Simplify right side
    83,416.50x = 16,711,314,620.06
  5. Step 5: Solve for x
    x = 16,711,314,620.06/83,416.50
  6. Step 6: Final answer
    x = 200,335.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.