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Finding the Third Proportional to 449,844 and 679,380

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Solution

The third proportional to 449,844 and 679,380 is: 1,026,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,844 : 679,380 = 679,380 : x
  2. Step 2: Convert to fraction form
    449,844/679,380 = 679,380/x
  3. Step 3: Cross multiply
    449,844x = 679,380 × 679,380
  4. Step 4: Simplify right side
    449,844x = 461,557,184,400
  5. Step 5: Solve for x
    x = 461,557,184,400/449,844
  6. Step 6: Final answer
    x = 1,026,038.33

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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.