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Finding the Third Proportional to 86,654 and 129,626

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Solution

The third proportional to 86,654 and 129,626 is: 193,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,654 : 129,626 = 129,626 : x
  2. Step 2: Convert to fraction form
    86,654/129,626 = 129,626/x
  3. Step 3: Cross multiply
    86,654x = 129,626 × 129,626
  4. Step 4: Simplify right side
    86,654x = 16,802,899,876
  5. Step 5: Solve for x
    x = 16,802,899,876/86,654
  6. Step 6: Final answer
    x = 193,907.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.