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Finding the Third Proportional to 74.11 and 156.52

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Solution

The third proportional to 74.11 and 156.52 is: 330.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.11 : 156.52 = 156.52 : x
  2. Step 2: Convert to fraction form
    74.11/156.52 = 156.52/x
  3. Step 3: Cross multiply
    74.11x = 156.52 × 156.52
  4. Step 4: Simplify right side
    74.11x = 24,497.14
  5. Step 5: Solve for x
    x = 24,497.14/74.11
  6. Step 6: Final answer
    x = 330.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.