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Finding the Third Proportional to 640.72 and 963.93

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Solution

The third proportional to 640.72 and 963.93 is: 1,450.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.72 : 963.93 = 963.93 : x
  2. Step 2: Convert to fraction form
    640.72/963.93 = 963.93/x
  3. Step 3: Cross multiply
    640.72x = 963.93 × 963.93
  4. Step 4: Simplify right side
    640.72x = 929,164.21
  5. Step 5: Solve for x
    x = 929,164.21/640.72
  6. Step 6: Final answer
    x = 1,450.18

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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.