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Finding the Third Proportional to 126,078 and 189,251

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Solution

The third proportional to 126,078 and 189,251 is: 284,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,078 : 189,251 = 189,251 : x
  2. Step 2: Convert to fraction form
    126,078/189,251 = 189,251/x
  3. Step 3: Cross multiply
    126,078x = 189,251 × 189,251
  4. Step 4: Simplify right side
    126,078x = 35,815,941,001
  5. Step 5: Solve for x
    x = 35,815,941,001/126,078
  6. Step 6: Final answer
    x = 284,077.64

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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.