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Finding the Third Proportional to 638.16 and 966.80

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Solution

The third proportional to 638.16 and 966.80 is: 1,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.16 : 966.80 = 966.80 : x
  2. Step 2: Convert to fraction form
    638.16/966.80 = 966.80/x
  3. Step 3: Cross multiply
    638.16x = 966.80 × 966.80
  4. Step 4: Simplify right side
    638.16x = 934,696.20
  5. Step 5: Solve for x
    x = 934,696.20/638.16
  6. Step 6: Final answer
    x = 1,464.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.