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Finding the Third Proportional to 139.74 and 221.93

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Solution

The third proportional to 139.74 and 221.93 is: 352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.74 : 221.93 = 221.93 : x
  2. Step 2: Convert to fraction form
    139.74/221.93 = 221.93/x
  3. Step 3: Cross multiply
    139.74x = 221.93 × 221.93
  4. Step 4: Simplify right side
    139.74x = 49,254.74
  5. Step 5: Solve for x
    x = 49,254.74/139.74
  6. Step 6: Final answer
    x = 352.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.