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Finding the Third Proportional to 85,932 and 132,786

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Solution

The third proportional to 85,932 and 132,786 is: 205,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,932 : 132,786 = 132,786 : x
  2. Step 2: Convert to fraction form
    85,932/132,786 = 132,786/x
  3. Step 3: Cross multiply
    85,932x = 132,786 × 132,786
  4. Step 4: Simplify right side
    85,932x = 17,632,121,796
  5. Step 5: Solve for x
    x = 17,632,121,796/85,932
  6. Step 6: Final answer
    x = 205,186.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.