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Finding the Third Proportional to 126,172 and 189,792

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Solution

The third proportional to 126,172 and 189,792 is: 285,491.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,172 : 189,792 = 189,792 : x
  2. Step 2: Convert to fraction form
    126,172/189,792 = 189,792/x
  3. Step 3: Cross multiply
    126,172x = 189,792 × 189,792
  4. Step 4: Simplify right side
    126,172x = 36,021,003,264
  5. Step 5: Solve for x
    x = 36,021,003,264/126,172
  6. Step 6: Final answer
    x = 285,491.26

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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.