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Finding the Third Proportional to 194,211 and 278,739

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Solution

The third proportional to 194,211 and 278,739 is: 400,056.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,211 : 278,739 = 278,739 : x
  2. Step 2: Convert to fraction form
    194,211/278,739 = 278,739/x
  3. Step 3: Cross multiply
    194,211x = 278,739 × 278,739
  4. Step 4: Simplify right side
    194,211x = 77,695,430,121
  5. Step 5: Solve for x
    x = 77,695,430,121/194,211
  6. Step 6: Final answer
    x = 400,056.79

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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.