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Finding the Third Proportional to 281.12 and 616.30

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Solution

The third proportional to 281.12 and 616.30 is: 1,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.12 : 616.30 = 616.30 : x
  2. Step 2: Convert to fraction form
    281.12/616.30 = 616.30/x
  3. Step 3: Cross multiply
    281.12x = 616.30 × 616.30
  4. Step 4: Simplify right side
    281.12x = 379,819.66
  5. Step 5: Solve for x
    x = 379,819.66/281.12
  6. Step 6: Final answer
    x = 1,351.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.