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Finding the Third Proportional to 34.12 and 73.53

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Solution

The third proportional to 34.12 and 73.53 is: 158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.12 : 73.53 = 73.53 : x
  2. Step 2: Convert to fraction form
    34.12/73.53 = 73.53/x
  3. Step 3: Cross multiply
    34.12x = 73.53 × 73.53
  4. Step 4: Simplify right side
    34.12x = 5,406.84
  5. Step 5: Solve for x
    x = 5,406.84/34.12
  6. Step 6: Final answer
    x = 158.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.