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Finding the Third Proportional to 139.64 and 214.73

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Solution

The third proportional to 139.64 and 214.73 is: 330.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.64 : 214.73 = 214.73 : x
  2. Step 2: Convert to fraction form
    139.64/214.73 = 214.73/x
  3. Step 3: Cross multiply
    139.64x = 214.73 × 214.73
  4. Step 4: Simplify right side
    139.64x = 46,110.85
  5. Step 5: Solve for x
    x = 46,110.85/139.64
  6. Step 6: Final answer
    x = 330.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.