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Finding the Third Proportional to 197,248.50 and 279,102.38

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Solution

The third proportional to 197,248.50 and 279,102.38 is: 394,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,248.50 : 279,102.38 = 279,102.38 : x
  2. Step 2: Convert to fraction form
    197,248.50/279,102.38 = 279,102.38/x
  3. Step 3: Cross multiply
    197,248.50x = 279,102.38 × 279,102.38
  4. Step 4: Simplify right side
    197,248.50x = 77,898,135,730.64
  5. Step 5: Solve for x
    x = 77,898,135,730.64/197,248.50
  6. Step 6: Final answer
    x = 394,923.84

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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.