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Finding the Third Proportional to 640.88 and 961.38

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Solution

The third proportional to 640.88 and 961.38 is: 1,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.88 : 961.38 = 961.38 : x
  2. Step 2: Convert to fraction form
    640.88/961.38 = 961.38/x
  3. Step 3: Cross multiply
    640.88x = 961.38 × 961.38
  4. Step 4: Simplify right side
    640.88x = 924,241.89
  5. Step 5: Solve for x
    x = 924,241.89/640.88
  6. Step 6: Final answer
    x = 1,442.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.