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Finding the Third Proportional to 187,871 and 403,067

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Solution

The third proportional to 187,871 and 403,067 is: 864,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,871 : 403,067 = 403,067 : x
  2. Step 2: Convert to fraction form
    187,871/403,067 = 403,067/x
  3. Step 3: Cross multiply
    187,871x = 403,067 × 403,067
  4. Step 4: Simplify right side
    187,871x = 162,463,006,489
  5. Step 5: Solve for x
    x = 162,463,006,489/187,871
  6. Step 6: Final answer
    x = 864,758.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.