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Finding the Third Proportional to 280,892 and 397,452

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Solution

The third proportional to 280,892 and 397,452 is: 562,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,892 : 397,452 = 397,452 : x
  2. Step 2: Convert to fraction form
    280,892/397,452 = 397,452/x
  3. Step 3: Cross multiply
    280,892x = 397,452 × 397,452
  4. Step 4: Simplify right side
    280,892x = 157,968,092,304
  5. Step 5: Solve for x
    x = 157,968,092,304/280,892
  6. Step 6: Final answer
    x = 562,380.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.