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Finding the Third Proportional to 200,814 and 322,866

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Solution

The third proportional to 200,814 and 322,866 is: 519,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,814 : 322,866 = 322,866 : x
  2. Step 2: Convert to fraction form
    200,814/322,866 = 322,866/x
  3. Step 3: Cross multiply
    200,814x = 322,866 × 322,866
  4. Step 4: Simplify right side
    200,814x = 104,242,453,956
  5. Step 5: Solve for x
    x = 104,242,453,956/200,814
  6. Step 6: Final answer
    x = 519,099.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.