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Finding the Third Proportional to 608.45 and 676.79

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Solution

The third proportional to 608.45 and 676.79 is: 752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.45 : 676.79 = 676.79 : x
  2. Step 2: Convert to fraction form
    608.45/676.79 = 676.79/x
  3. Step 3: Cross multiply
    608.45x = 676.79 × 676.79
  4. Step 4: Simplify right side
    608.45x = 458,048.72
  5. Step 5: Solve for x
    x = 458,048.72/608.45
  6. Step 6: Final answer
    x = 752.81

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.