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Finding the Third Proportional to 217,917 and 330,135.75

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Solution

The third proportional to 217,917 and 330,135.75 is: 500,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,917 : 330,135.75 = 330,135.75 : x
  2. Step 2: Convert to fraction form
    217,917/330,135.75 = 330,135.75/x
  3. Step 3: Cross multiply
    217,917x = 330,135.75 × 330,135.75
  4. Step 4: Simplify right side
    217,917x = 108,989,613,428.06
  5. Step 5: Solve for x
    x = 108,989,613,428.06/217,917
  6. Step 6: Final answer
    x = 500,142.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.