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Finding the Third Proportional to 80,757 and 125,041.50

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Solution

The third proportional to 80,757 and 125,041.50 is: 193,610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,757 : 125,041.50 = 125,041.50 : x
  2. Step 2: Convert to fraction form
    80,757/125,041.50 = 125,041.50/x
  3. Step 3: Cross multiply
    80,757x = 125,041.50 × 125,041.50
  4. Step 4: Simplify right side
    80,757x = 15,635,376,722.25
  5. Step 5: Solve for x
    x = 15,635,376,722.25/80,757
  6. Step 6: Final answer
    x = 193,610.17

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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.