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Finding the Third Proportional to 203.98 and 328.40

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Solution

The third proportional to 203.98 and 328.40 is: 528.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.98 : 328.40 = 328.40 : x
  2. Step 2: Convert to fraction form
    203.98/328.40 = 328.40/x
  3. Step 3: Cross multiply
    203.98x = 328.40 × 328.40
  4. Step 4: Simplify right side
    203.98x = 107,848.74
  5. Step 5: Solve for x
    x = 107,848.74/203.98
  6. Step 6: Final answer
    x = 528.73

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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.