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Finding the Third Proportional to 638.59 and 967.49

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Solution

The third proportional to 638.59 and 967.49 is: 1,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.59 : 967.49 = 967.49 : x
  2. Step 2: Convert to fraction form
    638.59/967.49 = 967.49/x
  3. Step 3: Cross multiply
    638.59x = 967.49 × 967.49
  4. Step 4: Simplify right side
    638.59x = 936,039.24
  5. Step 5: Solve for x
    x = 936,039.24/638.59
  6. Step 6: Final answer
    x = 1,465.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.