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Finding the Third Proportional to 126,130 and 189,725

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Solution

The third proportional to 126,130 and 189,725 is: 285,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,130 : 189,725 = 189,725 : x
  2. Step 2: Convert to fraction form
    126,130/189,725 = 189,725/x
  3. Step 3: Cross multiply
    126,130x = 189,725 × 189,725
  4. Step 4: Simplify right side
    126,130x = 35,995,575,625
  5. Step 5: Solve for x
    x = 35,995,575,625/126,130
  6. Step 6: Final answer
    x = 285,384.73

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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.