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Finding the Third Proportional to 682.13 and 817.13

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Solution

The third proportional to 682.13 and 817.13 is: 978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.13 : 817.13 = 817.13 : x
  2. Step 2: Convert to fraction form
    682.13/817.13 = 817.13/x
  3. Step 3: Cross multiply
    682.13x = 817.13 × 817.13
  4. Step 4: Simplify right side
    682.13x = 667,693.27
  5. Step 5: Solve for x
    x = 667,693.27/682.13
  6. Step 6: Final answer
    x = 978.84

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.