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Finding the Third Proportional to 121,872 and 166,040

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Solution

The third proportional to 121,872 and 166,040 is: 226,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,872 : 166,040 = 166,040 : x
  2. Step 2: Convert to fraction form
    121,872/166,040 = 166,040/x
  3. Step 3: Cross multiply
    121,872x = 166,040 × 166,040
  4. Step 4: Simplify right side
    121,872x = 27,569,281,600
  5. Step 5: Solve for x
    x = 27,569,281,600/121,872
  6. Step 6: Final answer
    x = 226,215.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.