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Finding the Third Proportional to 101.21 and 161.13

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Solution

The third proportional to 101.21 and 161.13 is: 256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.21 : 161.13 = 161.13 : x
  2. Step 2: Convert to fraction form
    101.21/161.13 = 161.13/x
  3. Step 3: Cross multiply
    101.21x = 161.13 × 161.13
  4. Step 4: Simplify right side
    101.21x = 25,963.44
  5. Step 5: Solve for x
    x = 25,963.44/101.21
  6. Step 6: Final answer
    x = 256.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.