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Finding the Third Proportional to 108,726 and 220,508

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Solution

The third proportional to 108,726 and 220,508 is: 447,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,726 : 220,508 = 220,508 : x
  2. Step 2: Convert to fraction form
    108,726/220,508 = 220,508/x
  3. Step 3: Cross multiply
    108,726x = 220,508 × 220,508
  4. Step 4: Simplify right side
    108,726x = 48,623,778,064
  5. Step 5: Solve for x
    x = 48,623,778,064/108,726
  6. Step 6: Final answer
    x = 447,213.90

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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.