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Finding the Third Proportional to 143,982 and 217,271

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Solution

The third proportional to 143,982 and 217,271 is: 327,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,982 : 217,271 = 217,271 : x
  2. Step 2: Convert to fraction form
    143,982/217,271 = 217,271/x
  3. Step 3: Cross multiply
    143,982x = 217,271 × 217,271
  4. Step 4: Simplify right side
    143,982x = 47,206,687,441
  5. Step 5: Solve for x
    x = 47,206,687,441/143,982
  6. Step 6: Final answer
    x = 327,865.20

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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.