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Finding the Third Proportional to 209,231 and 268,648

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Solution

The third proportional to 209,231 and 268,648 is: 344,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,231 : 268,648 = 268,648 : x
  2. Step 2: Convert to fraction form
    209,231/268,648 = 268,648/x
  3. Step 3: Cross multiply
    209,231x = 268,648 × 268,648
  4. Step 4: Simplify right side
    209,231x = 72,171,747,904
  5. Step 5: Solve for x
    x = 72,171,747,904/209,231
  6. Step 6: Final answer
    x = 344,938.12

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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.