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Finding the Third Proportional to 680.91 and 909.14

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Solution

The third proportional to 680.91 and 909.14 is: 1,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.91 : 909.14 = 909.14 : x
  2. Step 2: Convert to fraction form
    680.91/909.14 = 909.14/x
  3. Step 3: Cross multiply
    680.91x = 909.14 × 909.14
  4. Step 4: Simplify right side
    680.91x = 826,536.68
  5. Step 5: Solve for x
    x = 826,536.68/680.91
  6. Step 6: Final answer
    x = 1,213.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.