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Finding the Third Proportional to 86,272 and 115,941

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Solution

The third proportional to 86,272 and 115,941 is: 155,813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,272 : 115,941 = 115,941 : x
  2. Step 2: Convert to fraction form
    86,272/115,941 = 115,941/x
  3. Step 3: Cross multiply
    86,272x = 115,941 × 115,941
  4. Step 4: Simplify right side
    86,272x = 13,442,315,481
  5. Step 5: Solve for x
    x = 13,442,315,481/86,272
  6. Step 6: Final answer
    x = 155,813.19

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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.