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Finding the Third Proportional to 299.24 and 461.79

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Solution

The third proportional to 299.24 and 461.79 is: 712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.24 : 461.79 = 461.79 : x
  2. Step 2: Convert to fraction form
    299.24/461.79 = 461.79/x
  3. Step 3: Cross multiply
    299.24x = 461.79 × 461.79
  4. Step 4: Simplify right side
    299.24x = 213,254.55
  5. Step 5: Solve for x
    x = 213,254.55/299.24
  6. Step 6: Final answer
    x = 712.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.