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Finding the Third Proportional to 643.08 and 960.82

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Solution

The third proportional to 643.08 and 960.82 is: 1,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.08 : 960.82 = 960.82 : x
  2. Step 2: Convert to fraction form
    643.08/960.82 = 960.82/x
  3. Step 3: Cross multiply
    643.08x = 960.82 × 960.82
  4. Step 4: Simplify right side
    643.08x = 923,175.67
  5. Step 5: Solve for x
    x = 923,175.67/643.08
  6. Step 6: Final answer
    x = 1,435.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.