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Finding the Third Proportional to 86,317 and 131,277

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Solution

The third proportional to 86,317 and 131,277 is: 199,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,317 : 131,277 = 131,277 : x
  2. Step 2: Convert to fraction form
    86,317/131,277 = 131,277/x
  3. Step 3: Cross multiply
    86,317x = 131,277 × 131,277
  4. Step 4: Simplify right side
    86,317x = 17,233,650,729
  5. Step 5: Solve for x
    x = 17,233,650,729/86,317
  6. Step 6: Final answer
    x = 199,655.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.