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Finding the Third Proportional to 449,860 and 679,438

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Solution

The third proportional to 449,860 and 679,438 is: 1,026,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,860 : 679,438 = 679,438 : x
  2. Step 2: Convert to fraction form
    449,860/679,438 = 679,438/x
  3. Step 3: Cross multiply
    449,860x = 679,438 × 679,438
  4. Step 4: Simplify right side
    449,860x = 461,635,995,844
  5. Step 5: Solve for x
    x = 461,635,995,844/449,860
  6. Step 6: Final answer
    x = 1,026,177.02

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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.