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Finding the Third Proportional to 126,830 and 189,831

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Solution

The third proportional to 126,830 and 189,831 is: 284,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,830 : 189,831 = 189,831 : x
  2. Step 2: Convert to fraction form
    126,830/189,831 = 189,831/x
  3. Step 3: Cross multiply
    126,830x = 189,831 × 189,831
  4. Step 4: Simplify right side
    126,830x = 36,035,808,561
  5. Step 5: Solve for x
    x = 36,035,808,561/126,830
  6. Step 6: Final answer
    x = 284,126.85

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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.