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Finding the Third Proportional to 76,118 and 108,189

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Solution

The third proportional to 76,118 and 108,189 is: 153,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,118 : 108,189 = 108,189 : x
  2. Step 2: Convert to fraction form
    76,118/108,189 = 108,189/x
  3. Step 3: Cross multiply
    76,118x = 108,189 × 108,189
  4. Step 4: Simplify right side
    76,118x = 11,704,859,721
  5. Step 5: Solve for x
    x = 11,704,859,721/76,118
  6. Step 6: Final answer
    x = 153,772.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.