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Finding the Third Proportional to 161.75 and 225.13

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Solution

The third proportional to 161.75 and 225.13 is: 313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.75 : 225.13 = 225.13 : x
  2. Step 2: Convert to fraction form
    161.75/225.13 = 225.13/x
  3. Step 3: Cross multiply
    161.75x = 225.13 × 225.13
  4. Step 4: Simplify right side
    161.75x = 50,681.27
  5. Step 5: Solve for x
    x = 50,681.27/161.75
  6. Step 6: Final answer
    x = 313.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.