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Finding the Third Proportional to 452.46 and 676.79

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Solution

The third proportional to 452.46 and 676.79 is: 1,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.46 : 676.79 = 676.79 : x
  2. Step 2: Convert to fraction form
    452.46/676.79 = 676.79/x
  3. Step 3: Cross multiply
    452.46x = 676.79 × 676.79
  4. Step 4: Simplify right side
    452.46x = 458,048.72
  5. Step 5: Solve for x
    x = 458,048.72/452.46
  6. Step 6: Final answer
    x = 1,012.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.