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Finding the Third Proportional to 103.75 and 161.47

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Solution

The third proportional to 103.75 and 161.47 is: 251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.75 : 161.47 = 161.47 : x
  2. Step 2: Convert to fraction form
    103.75/161.47 = 161.47/x
  3. Step 3: Cross multiply
    103.75x = 161.47 × 161.47
  4. Step 4: Simplify right side
    103.75x = 26,072.16
  5. Step 5: Solve for x
    x = 26,072.16/103.75
  6. Step 6: Final answer
    x = 251.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.