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Finding the Third Proportional to 449,876 and 679,462

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Solution

The third proportional to 449,876 and 679,462 is: 1,026,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,876 : 679,462 = 679,462 : x
  2. Step 2: Convert to fraction form
    449,876/679,462 = 679,462/x
  3. Step 3: Cross multiply
    449,876x = 679,462 × 679,462
  4. Step 4: Simplify right side
    449,876x = 461,668,609,444
  5. Step 5: Solve for x
    x = 461,668,609,444/449,876
  6. Step 6: Final answer
    x = 1,026,213.02

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Why These Related Problems?

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