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Finding the Third Proportional to 200.88 and 415.19

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Solution

The third proportional to 200.88 and 415.19 is: 858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.88 : 415.19 = 415.19 : x
  2. Step 2: Convert to fraction form
    200.88/415.19 = 415.19/x
  3. Step 3: Cross multiply
    200.88x = 415.19 × 415.19
  4. Step 4: Simplify right side
    200.88x = 172,380.66
  5. Step 5: Solve for x
    x = 172,380.66/200.88
  6. Step 6: Final answer
    x = 858.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.