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Finding the Third Proportional to 132,286.50 and 280,908

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Solution

The third proportional to 132,286.50 and 280,908 is: 596,503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,286.50 : 280,908 = 280,908 : x
  2. Step 2: Convert to fraction form
    132,286.50/280,908 = 280,908/x
  3. Step 3: Cross multiply
    132,286.50x = 280,908 × 280,908
  4. Step 4: Simplify right side
    132,286.50x = 78,909,304,464
  5. Step 5: Solve for x
    x = 78,909,304,464/132,286.50
  6. Step 6: Final answer
    x = 596,503.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.