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Finding the Third Proportional to 83,286.56 and 132,462.84

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Solution

The third proportional to 83,286.56 and 132,462.84 is: 210,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,286.56 : 132,462.84 = 132,462.84 : x
  2. Step 2: Convert to fraction form
    83,286.56/132,462.84 = 132,462.84/x
  3. Step 3: Cross multiply
    83,286.56x = 132,462.84 × 132,462.84
  4. Step 4: Simplify right side
    83,286.56x = 17,546,404,974.34
  5. Step 5: Solve for x
    x = 17,546,404,974.34/83,286.56
  6. Step 6: Final answer
    x = 210,675.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.