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Finding the Third Proportional to 180,630 and 268,328

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Solution

The third proportional to 180,630 and 268,328 is: 398,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,630 : 268,328 = 268,328 : x
  2. Step 2: Convert to fraction form
    180,630/268,328 = 268,328/x
  3. Step 3: Cross multiply
    180,630x = 268,328 × 268,328
  4. Step 4: Simplify right side
    180,630x = 71,999,915,584
  5. Step 5: Solve for x
    x = 71,999,915,584/180,630
  6. Step 6: Final answer
    x = 398,604.42

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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.