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Finding the Third Proportional to 638.75 and 682.63

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Solution

The third proportional to 638.75 and 682.63 is: 729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.75 : 682.63 = 682.63 : x
  2. Step 2: Convert to fraction form
    638.75/682.63 = 682.63/x
  3. Step 3: Cross multiply
    638.75x = 682.63 × 682.63
  4. Step 4: Simplify right side
    638.75x = 465,976.89
  5. Step 5: Solve for x
    x = 465,976.89/638.75
  6. Step 6: Final answer
    x = 729.51

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.