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Finding the Third Proportional to 86,071 and 132,941

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Solution

The third proportional to 86,071 and 132,941 is: 205,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,071 : 132,941 = 132,941 : x
  2. Step 2: Convert to fraction form
    86,071/132,941 = 132,941/x
  3. Step 3: Cross multiply
    86,071x = 132,941 × 132,941
  4. Step 4: Simplify right side
    86,071x = 17,673,309,481
  5. Step 5: Solve for x
    x = 17,673,309,481/86,071
  6. Step 6: Final answer
    x = 205,334.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.