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Finding the Third Proportional to 203.34 and 440.86

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Solution

The third proportional to 203.34 and 440.86 is: 955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.34 : 440.86 = 440.86 : x
  2. Step 2: Convert to fraction form
    203.34/440.86 = 440.86/x
  3. Step 3: Cross multiply
    203.34x = 440.86 × 440.86
  4. Step 4: Simplify right side
    203.34x = 194,356.99
  5. Step 5: Solve for x
    x = 194,356.99/203.34
  6. Step 6: Final answer
    x = 955.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.