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Finding the Third Proportional to 193,645.69 and 278,905.78

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Solution

The third proportional to 193,645.69 and 278,905.78 is: 401,704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,645.69 : 278,905.78 = 278,905.78 : x
  2. Step 2: Convert to fraction form
    193,645.69/278,905.78 = 278,905.78/x
  3. Step 3: Cross multiply
    193,645.69x = 278,905.78 × 278,905.78
  4. Step 4: Simplify right side
    193,645.69x = 77,788,434,814.67
  5. Step 5: Solve for x
    x = 77,788,434,814.67/193,645.69
  6. Step 6: Final answer
    x = 401,704.97

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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.