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Finding the Third Proportional to 313,932 and 447,218

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Solution

The third proportional to 313,932 and 447,218 is: 637,093.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,932 : 447,218 = 447,218 : x
  2. Step 2: Convert to fraction form
    313,932/447,218 = 447,218/x
  3. Step 3: Cross multiply
    313,932x = 447,218 × 447,218
  4. Step 4: Simplify right side
    313,932x = 200,003,939,524
  5. Step 5: Solve for x
    x = 200,003,939,524/313,932
  6. Step 6: Final answer
    x = 637,093.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.