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Finding the Third Proportional to 441,999 and 679,779

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Solution

The third proportional to 441,999 and 679,779 is: 1,045,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,999 : 679,779 = 679,779 : x
  2. Step 2: Convert to fraction form
    441,999/679,779 = 679,779/x
  3. Step 3: Cross multiply
    441,999x = 679,779 × 679,779
  4. Step 4: Simplify right side
    441,999x = 462,099,488,841
  5. Step 5: Solve for x
    x = 462,099,488,841/441,999
  6. Step 6: Final answer
    x = 1,045,476.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.