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Finding the Third Proportional to 199.83 and 266.84

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Solution

The third proportional to 199.83 and 266.84 is: 356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.83 : 266.84 = 266.84 : x
  2. Step 2: Convert to fraction form
    199.83/266.84 = 266.84/x
  3. Step 3: Cross multiply
    199.83x = 266.84 × 266.84
  4. Step 4: Simplify right side
    199.83x = 71,201.42
  5. Step 5: Solve for x
    x = 71,201.42/199.83
  6. Step 6: Final answer
    x = 356.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.