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Finding the Third Proportional to 149.02 and 230.27

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Solution

The third proportional to 149.02 and 230.27 is: 355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.02 : 230.27 = 230.27 : x
  2. Step 2: Convert to fraction form
    149.02/230.27 = 230.27/x
  3. Step 3: Cross multiply
    149.02x = 230.27 × 230.27
  4. Step 4: Simplify right side
    149.02x = 53,025.86
  5. Step 5: Solve for x
    x = 53,025.86/149.02
  6. Step 6: Final answer
    x = 355.84

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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.