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Finding the Third Proportional to 76,972 and 115,149

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Solution

The third proportional to 76,972 and 115,149 is: 172,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,972 : 115,149 = 115,149 : x
  2. Step 2: Convert to fraction form
    76,972/115,149 = 115,149/x
  3. Step 3: Cross multiply
    76,972x = 115,149 × 115,149
  4. Step 4: Simplify right side
    76,972x = 13,259,292,201
  5. Step 5: Solve for x
    x = 13,259,292,201/76,972
  6. Step 6: Final answer
    x = 172,261.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.