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Finding the Third Proportional to 80,899.88 and 126,631.13

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Solution

The third proportional to 80,899.88 and 126,631.13 is: 198,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,899.88 : 126,631.13 = 126,631.13 : x
  2. Step 2: Convert to fraction form
    80,899.88/126,631.13 = 126,631.13/x
  3. Step 3: Cross multiply
    80,899.88x = 126,631.13 × 126,631.13
  4. Step 4: Simplify right side
    80,899.88x = 16,035,441,818.77
  5. Step 5: Solve for x
    x = 16,035,441,818.77/80,899.88
  6. Step 6: Final answer
    x = 198,213.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.