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Finding the Third Proportional to 65,737 and 143,631

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Solution

The third proportional to 65,737 and 143,631 is: 313,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,737 : 143,631 = 143,631 : x
  2. Step 2: Convert to fraction form
    65,737/143,631 = 143,631/x
  3. Step 3: Cross multiply
    65,737x = 143,631 × 143,631
  4. Step 4: Simplify right side
    65,737x = 20,629,864,161
  5. Step 5: Solve for x
    x = 20,629,864,161/65,737
  6. Step 6: Final answer
    x = 313,824.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.