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Finding the Third Proportional to 143,823 and 217,746

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Solution

The third proportional to 143,823 and 217,746 is: 329,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,823 : 217,746 = 217,746 : x
  2. Step 2: Convert to fraction form
    143,823/217,746 = 217,746/x
  3. Step 3: Cross multiply
    143,823x = 217,746 × 217,746
  4. Step 4: Simplify right side
    143,823x = 47,413,320,516
  5. Step 5: Solve for x
    x = 47,413,320,516/143,823
  6. Step 6: Final answer
    x = 329,664.38

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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.