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Finding the Third Proportional to 81,750 and 115,686

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Solution

The third proportional to 81,750 and 115,686 is: 163,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,750 : 115,686 = 115,686 : x
  2. Step 2: Convert to fraction form
    81,750/115,686 = 115,686/x
  3. Step 3: Cross multiply
    81,750x = 115,686 × 115,686
  4. Step 4: Simplify right side
    81,750x = 13,383,250,596
  5. Step 5: Solve for x
    x = 13,383,250,596/81,750
  6. Step 6: Final answer
    x = 163,709.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.