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Finding the Third Proportional to 180,626 and 268,329

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Solution

The third proportional to 180,626 and 268,329 is: 398,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,626 : 268,329 = 268,329 : x
  2. Step 2: Convert to fraction form
    180,626/268,329 = 268,329/x
  3. Step 3: Cross multiply
    180,626x = 268,329 × 268,329
  4. Step 4: Simplify right side
    180,626x = 72,000,452,241
  5. Step 5: Solve for x
    x = 72,000,452,241/180,626
  6. Step 6: Final answer
    x = 398,616.21

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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.