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Finding the Third Proportional to 209,234 and 268,651

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Solution

The third proportional to 209,234 and 268,651 is: 344,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,234 : 268,651 = 268,651 : x
  2. Step 2: Convert to fraction form
    209,234/268,651 = 268,651/x
  3. Step 3: Cross multiply
    209,234x = 268,651 × 268,651
  4. Step 4: Simplify right side
    209,234x = 72,173,359,801
  5. Step 5: Solve for x
    x = 72,173,359,801/209,234
  6. Step 6: Final answer
    x = 344,940.88

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.