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Finding the Third Proportional to 142.75 and 225.63

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Solution

The third proportional to 142.75 and 225.63 is: 356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.75 : 225.63 = 225.63 : x
  2. Step 2: Convert to fraction form
    142.75/225.63 = 225.63/x
  3. Step 3: Cross multiply
    142.75x = 225.63 × 225.63
  4. Step 4: Simplify right side
    142.75x = 50,906.64
  5. Step 5: Solve for x
    x = 50,906.64/142.75
  6. Step 6: Final answer
    x = 356.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.