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Finding the Third Proportional to 199.78 and 374.06

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Solution

The third proportional to 199.78 and 374.06 is: 700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.78 : 374.06 = 374.06 : x
  2. Step 2: Convert to fraction form
    199.78/374.06 = 374.06/x
  3. Step 3: Cross multiply
    199.78x = 374.06 × 374.06
  4. Step 4: Simplify right side
    199.78x = 139,922.75
  5. Step 5: Solve for x
    x = 139,922.75/199.78
  6. Step 6: Final answer
    x = 700.38

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.