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Finding the Third Proportional to 679.78 and 765.84

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Solution

The third proportional to 679.78 and 765.84 is: 862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.78 : 765.84 = 765.84 : x
  2. Step 2: Convert to fraction form
    679.78/765.84 = 765.84/x
  3. Step 3: Cross multiply
    679.78x = 765.84 × 765.84
  4. Step 4: Simplify right side
    679.78x = 586,516.65
  5. Step 5: Solve for x
    x = 586,516.65/679.78
  6. Step 6: Final answer
    x = 862.80

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.