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Finding the Third Proportional to 193,486 and 278,692

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Solution

The third proportional to 193,486 and 278,692 is: 401,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,486 : 278,692 = 278,692 : x
  2. Step 2: Convert to fraction form
    193,486/278,692 = 278,692/x
  3. Step 3: Cross multiply
    193,486x = 278,692 × 278,692
  4. Step 4: Simplify right side
    193,486x = 77,669,230,864
  5. Step 5: Solve for x
    x = 77,669,230,864/193,486
  6. Step 6: Final answer
    x = 401,420.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.