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Finding the Third Proportional to 311,196 and 633,804

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Solution

The third proportional to 311,196 and 633,804 is: 1,290,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,196 : 633,804 = 633,804 : x
  2. Step 2: Convert to fraction form
    311,196/633,804 = 633,804/x
  3. Step 3: Cross multiply
    311,196x = 633,804 × 633,804
  4. Step 4: Simplify right side
    311,196x = 401,707,510,416
  5. Step 5: Solve for x
    x = 401,707,510,416/311,196
  6. Step 6: Final answer
    x = 1,290,850.49

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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.