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Finding the Third Proportional to 217,982 and 295,869

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Solution

The third proportional to 217,982 and 295,869 is: 401,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,982 : 295,869 = 295,869 : x
  2. Step 2: Convert to fraction form
    217,982/295,869 = 295,869/x
  3. Step 3: Cross multiply
    217,982x = 295,869 × 295,869
  4. Step 4: Simplify right side
    217,982x = 87,538,465,161
  5. Step 5: Solve for x
    x = 87,538,465,161/217,982
  6. Step 6: Final answer
    x = 401,585.75

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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.