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Finding the Third Proportional to 187,961 and 287,895

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Solution

The third proportional to 187,961 and 287,895 is: 440,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,961 : 287,895 = 287,895 : x
  2. Step 2: Convert to fraction form
    187,961/287,895 = 287,895/x
  3. Step 3: Cross multiply
    187,961x = 287,895 × 287,895
  4. Step 4: Simplify right side
    187,961x = 82,883,531,025
  5. Step 5: Solve for x
    x = 82,883,531,025/187,961
  6. Step 6: Final answer
    x = 440,961.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.