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Finding the Third Proportional to 311,204.50 and 633,828.75

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Solution

The third proportional to 311,204.50 and 633,828.75 is: 1,290,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,204.50 : 633,828.75 = 633,828.75 : x
  2. Step 2: Convert to fraction form
    311,204.50/633,828.75 = 633,828.75/x
  3. Step 3: Cross multiply
    311,204.50x = 633,828.75 × 633,828.75
  4. Step 4: Simplify right side
    311,204.50x = 401,738,884,326.56
  5. Step 5: Solve for x
    x = 401,738,884,326.56/311,204.50
  6. Step 6: Final answer
    x = 1,290,916.05

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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.