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Finding the Third Proportional to 209,230 and 268,645

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Solution

The third proportional to 209,230 and 268,645 is: 344,932.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,230 : 268,645 = 268,645 : x
  2. Step 2: Convert to fraction form
    209,230/268,645 = 268,645/x
  3. Step 3: Cross multiply
    209,230x = 268,645 × 268,645
  4. Step 4: Simplify right side
    209,230x = 72,170,136,025
  5. Step 5: Solve for x
    x = 72,170,136,025/209,230
  6. Step 6: Final answer
    x = 344,932.07

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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.