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Finding the Third Proportional to 62,788 and 132,920

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Solution

The third proportional to 62,788 and 132,920 is: 281,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,788 : 132,920 = 132,920 : x
  2. Step 2: Convert to fraction form
    62,788/132,920 = 132,920/x
  3. Step 3: Cross multiply
    62,788x = 132,920 × 132,920
  4. Step 4: Simplify right side
    62,788x = 17,667,726,400
  5. Step 5: Solve for x
    x = 17,667,726,400/62,788
  6. Step 6: Final answer
    x = 281,386.99

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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.