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Finding the Third Proportional to 589.15 and 682.17

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Solution

The third proportional to 589.15 and 682.17 is: 789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.15 : 682.17 = 682.17 : x
  2. Step 2: Convert to fraction form
    589.15/682.17 = 682.17/x
  3. Step 3: Cross multiply
    589.15x = 682.17 × 682.17
  4. Step 4: Simplify right side
    589.15x = 465,358.47
  5. Step 5: Solve for x
    x = 465,358.47/589.15
  6. Step 6: Final answer
    x = 789.88

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.