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Finding the Third Proportional to 180,668 and 268,383

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Solution

The third proportional to 180,668 and 268,383 is: 398,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,668 : 268,383 = 268,383 : x
  2. Step 2: Convert to fraction form
    180,668/268,383 = 268,383/x
  3. Step 3: Cross multiply
    180,668x = 268,383 × 268,383
  4. Step 4: Simplify right side
    180,668x = 72,029,434,689
  5. Step 5: Solve for x
    x = 72,029,434,689/180,668
  6. Step 6: Final answer
    x = 398,683.97

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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.