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Finding the Third Proportional to 149.15 and 323.92

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Solution

The third proportional to 149.15 and 323.92 is: 703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.15 : 323.92 = 323.92 : x
  2. Step 2: Convert to fraction form
    149.15/323.92 = 323.92/x
  3. Step 3: Cross multiply
    149.15x = 323.92 × 323.92
  4. Step 4: Simplify right side
    149.15x = 104,924.75
  5. Step 5: Solve for x
    x = 104,924.75/149.15
  6. Step 6: Final answer
    x = 703.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.