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Finding the Third Proportional to 65,549 and 142,198

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Solution

The third proportional to 65,549 and 142,198 is: 308,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,549 : 142,198 = 142,198 : x
  2. Step 2: Convert to fraction form
    65,549/142,198 = 142,198/x
  3. Step 3: Cross multiply
    65,549x = 142,198 × 142,198
  4. Step 4: Simplify right side
    65,549x = 20,220,271,204
  5. Step 5: Solve for x
    x = 20,220,271,204/65,549
  6. Step 6: Final answer
    x = 308,475.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.