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Finding the Third Proportional to 449,476 and 982,912

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Solution

The third proportional to 449,476 and 982,912 is: 2,149,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,476 : 982,912 = 982,912 : x
  2. Step 2: Convert to fraction form
    449,476/982,912 = 982,912/x
  3. Step 3: Cross multiply
    449,476x = 982,912 × 982,912
  4. Step 4: Simplify right side
    449,476x = 966,115,999,744
  5. Step 5: Solve for x
    x = 966,115,999,744/449,476
  6. Step 6: Final answer
    x = 2,149,427.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.