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Finding the Third Proportional to 199.41 and 308.04

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Solution

The third proportional to 199.41 and 308.04 is: 475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.41 : 308.04 = 308.04 : x
  2. Step 2: Convert to fraction form
    199.41/308.04 = 308.04/x
  3. Step 3: Cross multiply
    199.41x = 308.04 × 308.04
  4. Step 4: Simplify right side
    199.41x = 94,888.06
  5. Step 5: Solve for x
    x = 94,888.06/199.41
  6. Step 6: Final answer
    x = 475.85

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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.