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Finding the Third Proportional to 449,874 and 679,459

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Solution

The third proportional to 449,874 and 679,459 is: 1,026,208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,874 : 679,459 = 679,459 : x
  2. Step 2: Convert to fraction form
    449,874/679,459 = 679,459/x
  3. Step 3: Cross multiply
    449,874x = 679,459 × 679,459
  4. Step 4: Simplify right side
    449,874x = 461,664,532,681
  5. Step 5: Solve for x
    x = 461,664,532,681/449,874
  6. Step 6: Final answer
    x = 1,026,208.52

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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.