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Finding the Third Proportional to 65,731 and 143,901

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Solution

The third proportional to 65,731 and 143,901 is: 315,033.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,731 : 143,901 = 143,901 : x
  2. Step 2: Convert to fraction form
    65,731/143,901 = 143,901/x
  3. Step 3: Cross multiply
    65,731x = 143,901 × 143,901
  4. Step 4: Simplify right side
    65,731x = 20,707,497,801
  5. Step 5: Solve for x
    x = 20,707,497,801/65,731
  6. Step 6: Final answer
    x = 315,033.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.