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Finding the Third Proportional to 74.99 and 163.57

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Solution

The third proportional to 74.99 and 163.57 is: 356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.99 : 163.57 = 163.57 : x
  2. Step 2: Convert to fraction form
    74.99/163.57 = 163.57/x
  3. Step 3: Cross multiply
    74.99x = 163.57 × 163.57
  4. Step 4: Simplify right side
    74.99x = 26,754.77
  5. Step 5: Solve for x
    x = 26,754.77/74.99
  6. Step 6: Final answer
    x = 356.79

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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.