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Finding the Third Proportional to 456.68 and 682.70

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Solution

The third proportional to 456.68 and 682.70 is: 1,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.68 : 682.70 = 682.70 : x
  2. Step 2: Convert to fraction form
    456.68/682.70 = 682.70/x
  3. Step 3: Cross multiply
    456.68x = 682.70 × 682.70
  4. Step 4: Simplify right side
    456.68x = 466,078.22
  5. Step 5: Solve for x
    x = 466,078.22/456.68
  6. Step 6: Final answer
    x = 1,020.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.