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Finding the Third Proportional to 81,800 and 130,474

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Solution

The third proportional to 81,800 and 130,474 is: 208,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,800 : 130,474 = 130,474 : x
  2. Step 2: Convert to fraction form
    81,800/130,474 = 130,474/x
  3. Step 3: Cross multiply
    81,800x = 130,474 × 130,474
  4. Step 4: Simplify right side
    81,800x = 17,023,464,676
  5. Step 5: Solve for x
    x = 17,023,464,676/81,800
  6. Step 6: Final answer
    x = 208,110.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.