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Finding the Third Proportional to 86,956 and 116,474

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Solution

The third proportional to 86,956 and 116,474 is: 156,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,956 : 116,474 = 116,474 : x
  2. Step 2: Convert to fraction form
    86,956/116,474 = 116,474/x
  3. Step 3: Cross multiply
    86,956x = 116,474 × 116,474
  4. Step 4: Simplify right side
    86,956x = 13,566,192,676
  5. Step 5: Solve for x
    x = 13,566,192,676/86,956
  6. Step 6: Final answer
    x = 156,012.15

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.