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Finding the Third Proportional to 682.17 and 774.14

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Solution

The third proportional to 682.17 and 774.14 is: 878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.17 : 774.14 = 774.14 : x
  2. Step 2: Convert to fraction form
    682.17/774.14 = 774.14/x
  3. Step 3: Cross multiply
    682.17x = 774.14 × 774.14
  4. Step 4: Simplify right side
    682.17x = 599,293.71
  5. Step 5: Solve for x
    x = 599,293.71/682.17
  6. Step 6: Final answer
    x = 878.51

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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.