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Finding the Third Proportional to 86,418 and 116,235

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Solution

The third proportional to 86,418 and 116,235 is: 156,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,418 : 116,235 = 116,235 : x
  2. Step 2: Convert to fraction form
    86,418/116,235 = 116,235/x
  3. Step 3: Cross multiply
    86,418x = 116,235 × 116,235
  4. Step 4: Simplify right side
    86,418x = 13,510,575,225
  5. Step 5: Solve for x
    x = 13,510,575,225/86,418
  6. Step 6: Final answer
    x = 156,339.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.