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Finding the Third Proportional to 199,516.50 and 279,958.50

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Solution

The third proportional to 199,516.50 and 279,958.50 is: 392,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,516.50 : 279,958.50 = 279,958.50 : x
  2. Step 2: Convert to fraction form
    199,516.50/279,958.50 = 279,958.50/x
  3. Step 3: Cross multiply
    199,516.50x = 279,958.50 × 279,958.50
  4. Step 4: Simplify right side
    199,516.50x = 78,376,761,722.25
  5. Step 5: Solve for x
    x = 78,376,761,722.25/199,516.50
  6. Step 6: Final answer
    x = 392,833.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.