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Finding the Third Proportional to 197,143.50 and 278,953.50

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Solution

The third proportional to 197,143.50 and 278,953.50 is: 394,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,143.50 : 278,953.50 = 278,953.50 : x
  2. Step 2: Convert to fraction form
    197,143.50/278,953.50 = 278,953.50/x
  3. Step 3: Cross multiply
    197,143.50x = 278,953.50 × 278,953.50
  4. Step 4: Simplify right side
    197,143.50x = 77,815,055,162.25
  5. Step 5: Solve for x
    x = 77,815,055,162.25/197,143.50
  6. Step 6: Final answer
    x = 394,712.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.