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Finding the Third Proportional to 638.75 and 986.88

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Solution

The third proportional to 638.75 and 986.88 is: 1,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.75 : 986.88 = 986.88 : x
  2. Step 2: Convert to fraction form
    638.75/986.88 = 986.88/x
  3. Step 3: Cross multiply
    638.75x = 986.88 × 986.88
  4. Step 4: Simplify right side
    638.75x = 973,922.27
  5. Step 5: Solve for x
    x = 973,922.27/638.75
  6. Step 6: Final answer
    x = 1,524.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.