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Finding the Third Proportional to 107.58 and 199.83

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Solution

The third proportional to 107.58 and 199.83 is: 371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.58 : 199.83 = 199.83 : x
  2. Step 2: Convert to fraction form
    107.58/199.83 = 199.83/x
  3. Step 3: Cross multiply
    107.58x = 199.83 × 199.83
  4. Step 4: Simplify right side
    107.58x = 39,931.28
  5. Step 5: Solve for x
    x = 39,931.28/107.58
  6. Step 6: Final answer
    x = 371.18

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.