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Finding the Third Proportional to 81,662 and 124,922

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Solution

The third proportional to 81,662 and 124,922 is: 191,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,662 : 124,922 = 124,922 : x
  2. Step 2: Convert to fraction form
    81,662/124,922 = 124,922/x
  3. Step 3: Cross multiply
    81,662x = 124,922 × 124,922
  4. Step 4: Simplify right side
    81,662x = 15,605,506,084
  5. Step 5: Solve for x
    x = 15,605,506,084/81,662
  6. Step 6: Final answer
    x = 191,098.75

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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.