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Finding the Third Proportional to 83,836.50 and 126,840

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Solution

The third proportional to 83,836.50 and 126,840 is: 191,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,836.50 : 126,840 = 126,840 : x
  2. Step 2: Convert to fraction form
    83,836.50/126,840 = 126,840/x
  3. Step 3: Cross multiply
    83,836.50x = 126,840 × 126,840
  4. Step 4: Simplify right side
    83,836.50x = 16,088,385,600
  5. Step 5: Solve for x
    x = 16,088,385,600/83,836.50
  6. Step 6: Final answer
    x = 191,901.92

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