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Finding the Third Proportional to 143,901 and 217,859

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Solution

The third proportional to 143,901 and 217,859 is: 329,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,901 : 217,859 = 217,859 : x
  2. Step 2: Convert to fraction form
    143,901/217,859 = 217,859/x
  3. Step 3: Cross multiply
    143,901x = 217,859 × 217,859
  4. Step 4: Simplify right side
    143,901x = 47,462,543,881
  5. Step 5: Solve for x
    x = 47,462,543,881/143,901
  6. Step 6: Final answer
    x = 329,827.76

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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.