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Finding the Third Proportional to 86,956 and 130,626

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Solution

The third proportional to 86,956 and 130,626 is: 196,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,956 : 130,626 = 130,626 : x
  2. Step 2: Convert to fraction form
    86,956/130,626 = 130,626/x
  3. Step 3: Cross multiply
    86,956x = 130,626 × 130,626
  4. Step 4: Simplify right side
    86,956x = 17,063,151,876
  5. Step 5: Solve for x
    x = 17,063,151,876/86,956
  6. Step 6: Final answer
    x = 196,227.42

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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.