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Finding the Third Proportional to 209,812 and 449,073

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Solution

The third proportional to 209,812 and 449,073 is: 961,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,812 : 449,073 = 449,073 : x
  2. Step 2: Convert to fraction form
    209,812/449,073 = 449,073/x
  3. Step 3: Cross multiply
    209,812x = 449,073 × 449,073
  4. Step 4: Simplify right side
    209,812x = 201,666,559,329
  5. Step 5: Solve for x
    x = 201,666,559,329/209,812
  6. Step 6: Final answer
    x = 961,177.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.