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Finding the Third Proportional to 126,131 and 187,399

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Solution

The third proportional to 126,131 and 187,399 is: 278,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,131 : 187,399 = 187,399 : x
  2. Step 2: Convert to fraction form
    126,131/187,399 = 187,399/x
  3. Step 3: Cross multiply
    126,131x = 187,399 × 187,399
  4. Step 4: Simplify right side
    126,131x = 35,118,385,201
  5. Step 5: Solve for x
    x = 35,118,385,201/126,131
  6. Step 6: Final answer
    x = 278,427.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.