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Finding the Third Proportional to 217,980 and 295,866

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Solution

The third proportional to 217,980 and 295,866 is: 401,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,980 : 295,866 = 295,866 : x
  2. Step 2: Convert to fraction form
    217,980/295,866 = 295,866/x
  3. Step 3: Cross multiply
    217,980x = 295,866 × 295,866
  4. Step 4: Simplify right side
    217,980x = 87,536,689,956
  5. Step 5: Solve for x
    x = 87,536,689,956/217,980
  6. Step 6: Final answer
    x = 401,581.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.