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Finding the Third Proportional to 720.14 and 1,680.12

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Solution

The third proportional to 720.14 and 1,680.12 is: 3,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.14 : 1,680.12 = 1,680.12 : x
  2. Step 2: Convert to fraction form
    720.14/1,680.12 = 1,680.12/x
  3. Step 3: Cross multiply
    720.14x = 1,680.12 × 1,680.12
  4. Step 4: Simplify right side
    720.14x = 2,822,793.76
  5. Step 5: Solve for x
    x = 2,822,793.76/720.14
  6. Step 6: Final answer
    x = 3,919.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.