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Finding the Third Proportional to 90,234 and 126,149

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Solution

The third proportional to 90,234 and 126,149 is: 176,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,234 : 126,149 = 126,149 : x
  2. Step 2: Convert to fraction form
    90,234/126,149 = 126,149/x
  3. Step 3: Cross multiply
    90,234x = 126,149 × 126,149
  4. Step 4: Simplify right side
    90,234x = 15,913,570,201
  5. Step 5: Solve for x
    x = 15,913,570,201/90,234
  6. Step 6: Final answer
    x = 176,358.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.