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Finding the Third Proportional to 65,657 and 143,193

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Solution

The third proportional to 65,657 and 143,193 is: 312,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,657 : 143,193 = 143,193 : x
  2. Step 2: Convert to fraction form
    65,657/143,193 = 143,193/x
  3. Step 3: Cross multiply
    65,657x = 143,193 × 143,193
  4. Step 4: Simplify right side
    65,657x = 20,504,235,249
  5. Step 5: Solve for x
    x = 20,504,235,249/65,657
  6. Step 6: Final answer
    x = 312,293.21

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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.