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Finding the Third Proportional to 126,486 and 189,396

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Solution

The third proportional to 126,486 and 189,396 is: 283,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,486 : 189,396 = 189,396 : x
  2. Step 2: Convert to fraction form
    126,486/189,396 = 189,396/x
  3. Step 3: Cross multiply
    126,486x = 189,396 × 189,396
  4. Step 4: Simplify right side
    126,486x = 35,870,844,816
  5. Step 5: Solve for x
    x = 35,870,844,816/126,486
  6. Step 6: Final answer
    x = 283,595.38

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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.