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Finding the Third Proportional to 449,868 and 679,450

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Solution

The third proportional to 449,868 and 679,450 is: 1,026,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,868 : 679,450 = 679,450 : x
  2. Step 2: Convert to fraction form
    449,868/679,450 = 679,450/x
  3. Step 3: Cross multiply
    449,868x = 679,450 × 679,450
  4. Step 4: Simplify right side
    449,868x = 461,652,302,500
  5. Step 5: Solve for x
    x = 461,652,302,500/449,868
  6. Step 6: Final answer
    x = 1,026,195.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.