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Finding the Third Proportional to 275,641 and 415,067

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Solution

The third proportional to 275,641 and 415,067 is: 625,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,641 : 415,067 = 415,067 : x
  2. Step 2: Convert to fraction form
    275,641/415,067 = 415,067/x
  3. Step 3: Cross multiply
    275,641x = 415,067 × 415,067
  4. Step 4: Simplify right side
    275,641x = 172,280,614,489
  5. Step 5: Solve for x
    x = 172,280,614,489/275,641
  6. Step 6: Final answer
    x = 625,018.10

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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.