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Finding the Third Proportional to 199.78 and 297.09

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Solution

The third proportional to 199.78 and 297.09 is: 441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.78 : 297.09 = 297.09 : x
  2. Step 2: Convert to fraction form
    199.78/297.09 = 297.09/x
  3. Step 3: Cross multiply
    199.78x = 297.09 × 297.09
  4. Step 4: Simplify right side
    199.78x = 88,264.70
  5. Step 5: Solve for x
    x = 88,264.70/199.78
  6. Step 6: Final answer
    x = 441.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.