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Finding the Third Proportional to 680 and 794

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Solution

The third proportional to 680 and 794 is: 927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    680 : 794 = 794 : x
  2. Step 2: Convert to fraction form
    680/794 = 794/x
  3. Step 3: Cross multiply
    680x = 794 × 794
  4. Step 4: Simplify right side
    680x = 630,436
  5. Step 5: Solve for x
    x = 630,436/680
  6. Step 6: Final answer
    x = 927.11

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.