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Finding the Third Proportional to 61,720 and 132,788

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Solution

The third proportional to 61,720 and 132,788 is: 285,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,720 : 132,788 = 132,788 : x
  2. Step 2: Convert to fraction form
    61,720/132,788 = 132,788/x
  3. Step 3: Cross multiply
    61,720x = 132,788 × 132,788
  4. Step 4: Simplify right side
    61,720x = 17,632,652,944
  5. Step 5: Solve for x
    x = 17,632,652,944/61,720
  6. Step 6: Final answer
    x = 285,687.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.