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Finding the Third Proportional to 86,999 and 132,321

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Solution

The third proportional to 86,999 and 132,321 is: 201,253.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,999 : 132,321 = 132,321 : x
  2. Step 2: Convert to fraction form
    86,999/132,321 = 132,321/x
  3. Step 3: Cross multiply
    86,999x = 132,321 × 132,321
  4. Step 4: Simplify right side
    86,999x = 17,508,847,041
  5. Step 5: Solve for x
    x = 17,508,847,041/86,999
  6. Step 6: Final answer
    x = 201,253.43

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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.