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Finding the Third Proportional to 609.64 and 676.56

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Solution

The third proportional to 609.64 and 676.56 is: 750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.64 : 676.56 = 676.56 : x
  2. Step 2: Convert to fraction form
    609.64/676.56 = 676.56/x
  3. Step 3: Cross multiply
    609.64x = 676.56 × 676.56
  4. Step 4: Simplify right side
    609.64x = 457,727.57
  5. Step 5: Solve for x
    x = 457,727.57/609.64
  6. Step 6: Final answer
    x = 750.82

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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.