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Finding the Third Proportional to 638.44 and 1,186.88

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Solution

The third proportional to 638.44 and 1,186.88 is: 2,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.44 : 1,186.88 = 1,186.88 : x
  2. Step 2: Convert to fraction form
    638.44/1,186.88 = 1,186.88/x
  3. Step 3: Cross multiply
    638.44x = 1,186.88 × 1,186.88
  4. Step 4: Simplify right side
    638.44x = 1,408,672.27
  5. Step 5: Solve for x
    x = 1,408,672.27/638.44
  6. Step 6: Final answer
    x = 2,206.44

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.