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Finding the Third Proportional to 154.41 and 225.70

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Solution

The third proportional to 154.41 and 225.70 is: 329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.41 : 225.70 = 225.70 : x
  2. Step 2: Convert to fraction form
    154.41/225.70 = 225.70/x
  3. Step 3: Cross multiply
    154.41x = 225.70 × 225.70
  4. Step 4: Simplify right side
    154.41x = 50,941.90
  5. Step 5: Solve for x
    x = 50,941.90/154.41
  6. Step 6: Final answer
    x = 329.92

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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.