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Finding the Third Proportional to 126,500 and 189,688

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Solution

The third proportional to 126,500 and 189,688 is: 284,439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,500 : 189,688 = 189,688 : x
  2. Step 2: Convert to fraction form
    126,500/189,688 = 189,688/x
  3. Step 3: Cross multiply
    126,500x = 189,688 × 189,688
  4. Step 4: Simplify right side
    126,500x = 35,981,537,344
  5. Step 5: Solve for x
    x = 35,981,537,344/126,500
  6. Step 6: Final answer
    x = 284,439.03

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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.