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Finding the Third Proportional to 193.38 and 419.38

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Solution

The third proportional to 193.38 and 419.38 is: 909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.38 : 419.38 = 419.38 : x
  2. Step 2: Convert to fraction form
    193.38/419.38 = 419.38/x
  3. Step 3: Cross multiply
    193.38x = 419.38 × 419.38
  4. Step 4: Simplify right side
    193.38x = 175,875.39
  5. Step 5: Solve for x
    x = 175,875.39/193.38
  6. Step 6: Final answer
    x = 909.50

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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.