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Finding the Third Proportional to 199.19 and 437.56

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Solution

The third proportional to 199.19 and 437.56 is: 961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.19 : 437.56 = 437.56 : x
  2. Step 2: Convert to fraction form
    199.19/437.56 = 437.56/x
  3. Step 3: Cross multiply
    199.19x = 437.56 × 437.56
  4. Step 4: Simplify right side
    199.19x = 191,460.94
  5. Step 5: Solve for x
    x = 191,460.94/199.19
  6. Step 6: Final answer
    x = 961.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.