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Finding the Third Proportional to 85,662 and 121,761

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Solution

The third proportional to 85,662 and 121,761 is: 173,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,662 : 121,761 = 121,761 : x
  2. Step 2: Convert to fraction form
    85,662/121,761 = 121,761/x
  3. Step 3: Cross multiply
    85,662x = 121,761 × 121,761
  4. Step 4: Simplify right side
    85,662x = 14,825,741,121
  5. Step 5: Solve for x
    x = 14,825,741,121/85,662
  6. Step 6: Final answer
    x = 173,072.55

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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.