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Finding the Third Proportional to 132,882 and 290,680

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Solution

The third proportional to 132,882 and 290,680 is: 635,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,882 : 290,680 = 290,680 : x
  2. Step 2: Convert to fraction form
    132,882/290,680 = 290,680/x
  3. Step 3: Cross multiply
    132,882x = 290,680 × 290,680
  4. Step 4: Simplify right side
    132,882x = 84,494,862,400
  5. Step 5: Solve for x
    x = 84,494,862,400/132,882
  6. Step 6: Final answer
    x = 635,863.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.