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Finding the Third Proportional to 199.75 and 423.13

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Solution

The third proportional to 199.75 and 423.13 is: 896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.75 : 423.13 = 423.13 : x
  2. Step 2: Convert to fraction form
    199.75/423.13 = 423.13/x
  3. Step 3: Cross multiply
    199.75x = 423.13 × 423.13
  4. Step 4: Simplify right side
    199.75x = 179,034.77
  5. Step 5: Solve for x
    x = 179,034.77/199.75
  6. Step 6: Final answer
    x = 896.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.