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Finding the Third Proportional to 291.97 and 439.16

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Solution

The third proportional to 291.97 and 439.16 is: 660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.97 : 439.16 = 439.16 : x
  2. Step 2: Convert to fraction form
    291.97/439.16 = 439.16/x
  3. Step 3: Cross multiply
    291.97x = 439.16 × 439.16
  4. Step 4: Simplify right side
    291.97x = 192,858.21
  5. Step 5: Solve for x
    x = 192,858.21/291.97
  6. Step 6: Final answer
    x = 660.54

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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.