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Finding the Third Proportional to 199.63 and 351.25

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Solution

The third proportional to 199.63 and 351.25 is: 618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.63 : 351.25 = 351.25 : x
  2. Step 2: Convert to fraction form
    199.63/351.25 = 351.25/x
  3. Step 3: Cross multiply
    199.63x = 351.25 × 351.25
  4. Step 4: Simplify right side
    199.63x = 123,376.56
  5. Step 5: Solve for x
    x = 123,376.56/199.63
  6. Step 6: Final answer
    x = 618.04

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.