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Finding the Third Proportional to 126,709.31 and 189,686.81

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Solution

The third proportional to 126,709.31 and 189,686.81 is: 283,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,709.31 : 189,686.81 = 189,686.81 : x
  2. Step 2: Convert to fraction form
    126,709.31/189,686.81 = 189,686.81/x
  3. Step 3: Cross multiply
    126,709.31x = 189,686.81 × 189,686.81
  4. Step 4: Simplify right side
    126,709.31x = 35,981,086,836.41
  5. Step 5: Solve for x
    x = 35,981,086,836.41/126,709.31
  6. Step 6: Final answer
    x = 283,965.61

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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.