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Finding the Third Proportional to 641.67 and 964.41

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Solution

The third proportional to 641.67 and 964.41 is: 1,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.67 : 964.41 = 964.41 : x
  2. Step 2: Convert to fraction form
    641.67/964.41 = 964.41/x
  3. Step 3: Cross multiply
    641.67x = 964.41 × 964.41
  4. Step 4: Simplify right side
    641.67x = 930,079.42
  5. Step 5: Solve for x
    x = 930,079.42/641.67
  6. Step 6: Final answer
    x = 1,449.46

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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.