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Finding the Third Proportional to 411.75 and 958.38

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Solution

The third proportional to 411.75 and 958.38 is: 2,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.75 : 958.38 = 958.38 : x
  2. Step 2: Convert to fraction form
    411.75/958.38 = 958.38/x
  3. Step 3: Cross multiply
    411.75x = 958.38 × 958.38
  4. Step 4: Simplify right side
    411.75x = 918,482.64
  5. Step 5: Solve for x
    x = 918,482.64/411.75
  6. Step 6: Final answer
    x = 2,230.68

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.