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Finding the Third Proportional to 108,691.50 and 168,282

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Solution

The third proportional to 108,691.50 and 168,282 is: 260,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,691.50 : 168,282 = 168,282 : x
  2. Step 2: Convert to fraction form
    108,691.50/168,282 = 168,282/x
  3. Step 3: Cross multiply
    108,691.50x = 168,282 × 168,282
  4. Step 4: Simplify right side
    108,691.50x = 28,318,831,524
  5. Step 5: Solve for x
    x = 28,318,831,524/108,691.50
  6. Step 6: Final answer
    x = 260,543.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.