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Finding the Third Proportional to 34.31 and 74.81

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Solution

The third proportional to 34.31 and 74.81 is: 163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.31 : 74.81 = 74.81 : x
  2. Step 2: Convert to fraction form
    34.31/74.81 = 74.81/x
  3. Step 3: Cross multiply
    34.31x = 74.81 × 74.81
  4. Step 4: Simplify right side
    34.31x = 5,596.91
  5. Step 5: Solve for x
    x = 5,596.91/34.31
  6. Step 6: Final answer
    x = 163.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.