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Finding the Third Proportional to 143,859 and 217,788

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Solution

The third proportional to 143,859 and 217,788 is: 329,709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,859 : 217,788 = 217,788 : x
  2. Step 2: Convert to fraction form
    143,859/217,788 = 217,788/x
  3. Step 3: Cross multiply
    143,859x = 217,788 × 217,788
  4. Step 4: Simplify right side
    143,859x = 47,431,612,944
  5. Step 5: Solve for x
    x = 47,431,612,944/143,859
  6. Step 6: Final answer
    x = 329,709.04

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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.