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Finding the Third Proportional to 129,859 and 166,081

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Solution

The third proportional to 129,859 and 166,081 is: 212,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,859 : 166,081 = 166,081 : x
  2. Step 2: Convert to fraction form
    129,859/166,081 = 166,081/x
  3. Step 3: Cross multiply
    129,859x = 166,081 × 166,081
  4. Step 4: Simplify right side
    129,859x = 27,582,898,561
  5. Step 5: Solve for x
    x = 27,582,898,561/129,859
  6. Step 6: Final answer
    x = 212,406.52

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.