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Finding the Third Proportional to 180,667 and 268,381

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Solution

The third proportional to 180,667 and 268,381 is: 398,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,667 : 268,381 = 268,381 : x
  2. Step 2: Convert to fraction form
    180,667/268,381 = 268,381/x
  3. Step 3: Cross multiply
    180,667x = 268,381 × 268,381
  4. Step 4: Simplify right side
    180,667x = 72,028,361,161
  5. Step 5: Solve for x
    x = 72,028,361,161/180,667
  6. Step 6: Final answer
    x = 398,680.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.