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Finding the Third Proportional to 149.55 and 218.43

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Solution

The third proportional to 149.55 and 218.43 is: 319.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.55 : 218.43 = 218.43 : x
  2. Step 2: Convert to fraction form
    149.55/218.43 = 218.43/x
  3. Step 3: Cross multiply
    149.55x = 218.43 × 218.43
  4. Step 4: Simplify right side
    149.55x = 47,709.82
  5. Step 5: Solve for x
    x = 47,709.82/149.55
  6. Step 6: Final answer
    x = 319.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.