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Finding the Third Proportional to 143,904 and 217,863

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Solution

The third proportional to 143,904 and 217,863 is: 329,832.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,904 : 217,863 = 217,863 : x
  2. Step 2: Convert to fraction form
    143,904/217,863 = 217,863/x
  3. Step 3: Cross multiply
    143,904x = 217,863 × 217,863
  4. Step 4: Simplify right side
    143,904x = 47,464,286,769
  5. Step 5: Solve for x
    x = 47,464,286,769/143,904
  6. Step 6: Final answer
    x = 329,832.99

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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.