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Finding the Third Proportional to 299.79 and 464.17

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Solution

The third proportional to 299.79 and 464.17 is: 718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.79 : 464.17 = 464.17 : x
  2. Step 2: Convert to fraction form
    299.79/464.17 = 464.17/x
  3. Step 3: Cross multiply
    299.79x = 464.17 × 464.17
  4. Step 4: Simplify right side
    299.79x = 215,451.90
  5. Step 5: Solve for x
    x = 215,451.90/299.79
  6. Step 6: Final answer
    x = 718.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.