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Finding the Third Proportional to 193.78 and 418.59

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Solution

The third proportional to 193.78 and 418.59 is: 904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.78 : 418.59 = 418.59 : x
  2. Step 2: Convert to fraction form
    193.78/418.59 = 418.59/x
  3. Step 3: Cross multiply
    193.78x = 418.59 × 418.59
  4. Step 4: Simplify right side
    193.78x = 175,220.73
  5. Step 5: Solve for x
    x = 175,220.73/193.78
  6. Step 6: Final answer
    x = 904.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.