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Finding the Third Proportional to 308.75 and 464.19

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Solution

The third proportional to 308.75 and 464.19 is: 697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.75 : 464.19 = 464.19 : x
  2. Step 2: Convert to fraction form
    308.75/464.19 = 464.19/x
  3. Step 3: Cross multiply
    308.75x = 464.19 × 464.19
  4. Step 4: Simplify right side
    308.75x = 215,470.04
  5. Step 5: Solve for x
    x = 215,470.04/308.75
  6. Step 6: Final answer
    x = 697.88

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Why These Related Problems?

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