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Finding the Third Proportional to 108,742 and 220,540

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Solution

The third proportional to 108,742 and 220,540 is: 447,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,742 : 220,540 = 220,540 : x
  2. Step 2: Convert to fraction form
    108,742/220,540 = 220,540/x
  3. Step 3: Cross multiply
    108,742x = 220,540 × 220,540
  4. Step 4: Simplify right side
    108,742x = 48,637,891,600
  5. Step 5: Solve for x
    x = 48,637,891,600/108,742
  6. Step 6: Final answer
    x = 447,277.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.