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Finding the Third Proportional to 81,591 and 124,800

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Solution

The third proportional to 81,591 and 124,800 is: 190,891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,591 : 124,800 = 124,800 : x
  2. Step 2: Convert to fraction form
    81,591/124,800 = 124,800/x
  3. Step 3: Cross multiply
    81,591x = 124,800 × 124,800
  4. Step 4: Simplify right side
    81,591x = 15,575,040,000
  5. Step 5: Solve for x
    x = 15,575,040,000/81,591
  6. Step 6: Final answer
    x = 190,891.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.