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Finding the Third Proportional to 109,742 and 239,124

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Solution

The third proportional to 109,742 and 239,124 is: 521,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,742 : 239,124 = 239,124 : x
  2. Step 2: Convert to fraction form
    109,742/239,124 = 239,124/x
  3. Step 3: Cross multiply
    109,742x = 239,124 × 239,124
  4. Step 4: Simplify right side
    109,742x = 57,180,287,376
  5. Step 5: Solve for x
    x = 57,180,287,376/109,742
  6. Step 6: Final answer
    x = 521,042.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.