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Finding the Third Proportional to 449,296 and 988,448

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Solution

The third proportional to 449,296 and 988,448 is: 2,174,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,296 : 988,448 = 988,448 : x
  2. Step 2: Convert to fraction form
    449,296/988,448 = 988,448/x
  3. Step 3: Cross multiply
    449,296x = 988,448 × 988,448
  4. Step 4: Simplify right side
    449,296x = 977,029,448,704
  5. Step 5: Solve for x
    x = 977,029,448,704/449,296
  6. Step 6: Final answer
    x = 2,174,578.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.