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Finding the Third Proportional to 74.46 and 164.74

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Solution

The third proportional to 74.46 and 164.74 is: 364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.46 : 164.74 = 164.74 : x
  2. Step 2: Convert to fraction form
    74.46/164.74 = 164.74/x
  3. Step 3: Cross multiply
    74.46x = 164.74 × 164.74
  4. Step 4: Simplify right side
    74.46x = 27,139.99
  5. Step 5: Solve for x
    x = 27,139.99/74.46
  6. Step 6: Final answer
    x = 364.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.