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Finding the Third Proportional to 74.74 and 164.71

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Solution

The third proportional to 74.74 and 164.71 is: 362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.74 : 164.71 = 164.71 : x
  2. Step 2: Convert to fraction form
    74.74/164.71 = 164.71/x
  3. Step 3: Cross multiply
    74.74x = 164.71 × 164.71
  4. Step 4: Simplify right side
    74.74x = 27,128.41
  5. Step 5: Solve for x
    x = 27,128.41/74.74
  6. Step 6: Final answer
    x = 362.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.