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Finding the Third Proportional to 106.50 and 199.88

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Solution

The third proportional to 106.50 and 199.88 is: 375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.50 : 199.88 = 199.88 : x
  2. Step 2: Convert to fraction form
    106.50/199.88 = 199.88/x
  3. Step 3: Cross multiply
    106.50x = 199.88 × 199.88
  4. Step 4: Simplify right side
    106.50x = 39,950.02
  5. Step 5: Solve for x
    x = 39,950.02/106.50
  6. Step 6: Final answer
    x = 375.12

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.