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Finding the Third Proportional to 132,972 and 292,908

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Solution

The third proportional to 132,972 and 292,908 is: 645,211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,972 : 292,908 = 292,908 : x
  2. Step 2: Convert to fraction form
    132,972/292,908 = 292,908/x
  3. Step 3: Cross multiply
    132,972x = 292,908 × 292,908
  4. Step 4: Simplify right side
    132,972x = 85,795,096,464
  5. Step 5: Solve for x
    x = 85,795,096,464/132,972
  6. Step 6: Final answer
    x = 645,211.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.