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Finding the Third Proportional to 73.76 and 161.76

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Solution

The third proportional to 73.76 and 161.76 is: 354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.76 : 161.76 = 161.76 : x
  2. Step 2: Convert to fraction form
    73.76/161.76 = 161.76/x
  3. Step 3: Cross multiply
    73.76x = 161.76 × 161.76
  4. Step 4: Simplify right side
    73.76x = 26,167.17
  5. Step 5: Solve for x
    x = 26,167.17/73.76
  6. Step 6: Final answer
    x = 354.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.