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Finding the Third Proportional to 77.34 and 164.72

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Solution

The third proportional to 77.34 and 164.72 is: 350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.34 : 164.72 = 164.72 : x
  2. Step 2: Convert to fraction form
    77.34/164.72 = 164.72/x
  3. Step 3: Cross multiply
    77.34x = 164.72 × 164.72
  4. Step 4: Simplify right side
    77.34x = 27,132.27
  5. Step 5: Solve for x
    x = 27,132.27/77.34
  6. Step 6: Final answer
    x = 350.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.