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Finding the Third Proportional to 61,690 and 132,739

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Solution

The third proportional to 61,690 and 132,739 is: 285,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,690 : 132,739 = 132,739 : x
  2. Step 2: Convert to fraction form
    61,690/132,739 = 132,739/x
  3. Step 3: Cross multiply
    61,690x = 132,739 × 132,739
  4. Step 4: Simplify right side
    61,690x = 17,619,642,121
  5. Step 5: Solve for x
    x = 17,619,642,121/61,690
  6. Step 6: Final answer
    x = 285,615.86

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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.