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Finding the Third Proportional to 80,947.50 and 126,718.50

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Solution

The third proportional to 80,947.50 and 126,718.50 is: 198,370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,947.50 : 126,718.50 = 126,718.50 : x
  2. Step 2: Convert to fraction form
    80,947.50/126,718.50 = 126,718.50/x
  3. Step 3: Cross multiply
    80,947.50x = 126,718.50 × 126,718.50
  4. Step 4: Simplify right side
    80,947.50x = 16,057,578,242.25
  5. Step 5: Solve for x
    x = 16,057,578,242.25/80,947.50
  6. Step 6: Final answer
    x = 198,370.28

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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.