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Finding the Third Proportional to 68,909 and 150,124

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Solution

The third proportional to 68,909 and 150,124 is: 327,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,909 : 150,124 = 150,124 : x
  2. Step 2: Convert to fraction form
    68,909/150,124 = 150,124/x
  3. Step 3: Cross multiply
    68,909x = 150,124 × 150,124
  4. Step 4: Simplify right side
    68,909x = 22,537,215,376
  5. Step 5: Solve for x
    x = 22,537,215,376/68,909
  6. Step 6: Final answer
    x = 327,057.65

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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.