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Finding the Third Proportional to 193.03 and 321.56

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Solution

The third proportional to 193.03 and 321.56 is: 535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.03 : 321.56 = 321.56 : x
  2. Step 2: Convert to fraction form
    193.03/321.56 = 321.56/x
  3. Step 3: Cross multiply
    193.03x = 321.56 × 321.56
  4. Step 4: Simplify right side
    193.03x = 103,402.44
  5. Step 5: Solve for x
    x = 103,402.44/193.03
  6. Step 6: Final answer
    x = 535.68

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.