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Finding the Third Proportional to 143,874 and 217,818

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Solution

The third proportional to 143,874 and 217,818 is: 329,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,874 : 217,818 = 217,818 : x
  2. Step 2: Convert to fraction form
    143,874/217,818 = 217,818/x
  3. Step 3: Cross multiply
    143,874x = 217,818 × 217,818
  4. Step 4: Simplify right side
    143,874x = 47,444,681,124
  5. Step 5: Solve for x
    x = 47,444,681,124/143,874
  6. Step 6: Final answer
    x = 329,765.50

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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.