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Finding the Third Proportional to 139.19 and 199.56

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Solution

The third proportional to 139.19 and 199.56 is: 286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.19 : 199.56 = 199.56 : x
  2. Step 2: Convert to fraction form
    139.19/199.56 = 199.56/x
  3. Step 3: Cross multiply
    139.19x = 199.56 × 199.56
  4. Step 4: Simplify right side
    139.19x = 39,825.19
  5. Step 5: Solve for x
    x = 39,825.19/139.19
  6. Step 6: Final answer
    x = 286.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.