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Finding the Third Proportional to 311,199.75 and 633,819.38

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Solution

The third proportional to 311,199.75 and 633,819.38 is: 1,290,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,199.75 : 633,819.38 = 633,819.38 : x
  2. Step 2: Convert to fraction form
    311,199.75/633,819.38 = 633,819.38/x
  3. Step 3: Cross multiply
    311,199.75x = 633,819.38 × 633,819.38
  4. Step 4: Simplify right side
    311,199.75x = 401,727,000,125.39
  5. Step 5: Solve for x
    x = 401,727,000,125.39/311,199.75
  6. Step 6: Final answer
    x = 1,290,897.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.