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Finding the Third Proportional to 83,077.50 and 125,481

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Solution

The third proportional to 83,077.50 and 125,481 is: 189,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,077.50 : 125,481 = 125,481 : x
  2. Step 2: Convert to fraction form
    83,077.50/125,481 = 125,481/x
  3. Step 3: Cross multiply
    83,077.50x = 125,481 × 125,481
  4. Step 4: Simplify right side
    83,077.50x = 15,745,481,361
  5. Step 5: Solve for x
    x = 15,745,481,361/83,077.50
  6. Step 6: Final answer
    x = 189,527.63

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Why These Related Problems?

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