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Finding the Third Proportional to 634.78 and 682.03

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Solution

The third proportional to 634.78 and 682.03 is: 732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.78 : 682.03 = 682.03 : x
  2. Step 2: Convert to fraction form
    634.78/682.03 = 682.03/x
  3. Step 3: Cross multiply
    634.78x = 682.03 × 682.03
  4. Step 4: Simplify right side
    634.78x = 465,166.63
  5. Step 5: Solve for x
    x = 465,166.63/634.78
  6. Step 6: Final answer
    x = 732.80

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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.