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Finding the Third Proportional to 81,895 and 178,613

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Solution

The third proportional to 81,895 and 178,613 is: 389,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,895 : 178,613 = 178,613 : x
  2. Step 2: Convert to fraction form
    81,895/178,613 = 178,613/x
  3. Step 3: Cross multiply
    81,895x = 178,613 × 178,613
  4. Step 4: Simplify right side
    81,895x = 31,902,603,769
  5. Step 5: Solve for x
    x = 31,902,603,769/81,895
  6. Step 6: Final answer
    x = 389,554.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.