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Finding the Third Proportional to 126,549 and 187,879.50

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Solution

The third proportional to 126,549 and 187,879.50 is: 278,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,549 : 187,879.50 = 187,879.50 : x
  2. Step 2: Convert to fraction form
    126,549/187,879.50 = 187,879.50/x
  3. Step 3: Cross multiply
    126,549x = 187,879.50 × 187,879.50
  4. Step 4: Simplify right side
    126,549x = 35,298,706,520.25
  5. Step 5: Solve for x
    x = 35,298,706,520.25/126,549
  6. Step 6: Final answer
    x = 278,933.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.