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Finding the Third Proportional to 71.30 and 161.02

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Solution

The third proportional to 71.30 and 161.02 is: 363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.30 : 161.02 = 161.02 : x
  2. Step 2: Convert to fraction form
    71.30/161.02 = 161.02/x
  3. Step 3: Cross multiply
    71.30x = 161.02 × 161.02
  4. Step 4: Simplify right side
    71.30x = 25,926.03
  5. Step 5: Solve for x
    x = 25,926.03/71.30
  6. Step 6: Final answer
    x = 363.63

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.