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Finding the Third Proportional to 126,140 and 189,742

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Solution

The third proportional to 126,140 and 189,742 is: 285,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,140 : 189,742 = 189,742 : x
  2. Step 2: Convert to fraction form
    126,140/189,742 = 189,742/x
  3. Step 3: Cross multiply
    126,140x = 189,742 × 189,742
  4. Step 4: Simplify right side
    126,140x = 36,002,026,564
  5. Step 5: Solve for x
    x = 36,002,026,564/126,140
  6. Step 6: Final answer
    x = 285,413.24

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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.