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Finding the Third Proportional to 145.49 and 225.62

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Solution

The third proportional to 145.49 and 225.62 is: 349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.49 : 225.62 = 225.62 : x
  2. Step 2: Convert to fraction form
    145.49/225.62 = 225.62/x
  3. Step 3: Cross multiply
    145.49x = 225.62 × 225.62
  4. Step 4: Simplify right side
    145.49x = 50,906.20
  5. Step 5: Solve for x
    x = 50,906.20/145.49
  6. Step 6: Final answer
    x = 349.88

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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.