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Finding the Third Proportional to 126,812 and 189,822

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Solution

The third proportional to 126,812 and 189,822 is: 284,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,812 : 189,822 = 189,822 : x
  2. Step 2: Convert to fraction form
    126,812/189,822 = 189,822/x
  3. Step 3: Cross multiply
    126,812x = 189,822 × 189,822
  4. Step 4: Simplify right side
    126,812x = 36,032,391,684
  5. Step 5: Solve for x
    x = 36,032,391,684/126,812
  6. Step 6: Final answer
    x = 284,140.24

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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.