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Finding the Third Proportional to 203.89 and 328.42

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Solution

The third proportional to 203.89 and 328.42 is: 528.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.89 : 328.42 = 328.42 : x
  2. Step 2: Convert to fraction form
    203.89/328.42 = 328.42/x
  3. Step 3: Cross multiply
    203.89x = 328.42 × 328.42
  4. Step 4: Simplify right side
    203.89x = 107,858.36
  5. Step 5: Solve for x
    x = 107,858.36/203.89
  6. Step 6: Final answer
    x = 528.99

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.