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Finding the Third Proportional to 680.81 and 778.69

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Solution

The third proportional to 680.81 and 778.69 is: 890.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.81 : 778.69 = 778.69 : x
  2. Step 2: Convert to fraction form
    680.81/778.69 = 778.69/x
  3. Step 3: Cross multiply
    680.81x = 778.69 × 778.69
  4. Step 4: Simplify right side
    680.81x = 606,354.22
  5. Step 5: Solve for x
    x = 606,354.22/680.81
  6. Step 6: Final answer
    x = 890.63

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.