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Finding the Third Proportional to 86,288 and 115,956

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Solution

The third proportional to 86,288 and 115,956 is: 155,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,288 : 115,956 = 115,956 : x
  2. Step 2: Convert to fraction form
    86,288/115,956 = 115,956/x
  3. Step 3: Cross multiply
    86,288x = 115,956 × 115,956
  4. Step 4: Simplify right side
    86,288x = 13,445,793,936
  5. Step 5: Solve for x
    x = 13,445,793,936/86,288
  6. Step 6: Final answer
    x = 155,824.61

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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.