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Finding the Third Proportional to 65,847 and 142,223

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Solution

The third proportional to 65,847 and 142,223 is: 307,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,847 : 142,223 = 142,223 : x
  2. Step 2: Convert to fraction form
    65,847/142,223 = 142,223/x
  3. Step 3: Cross multiply
    65,847x = 142,223 × 142,223
  4. Step 4: Simplify right side
    65,847x = 20,227,381,729
  5. Step 5: Solve for x
    x = 20,227,381,729/65,847
  6. Step 6: Final answer
    x = 307,187.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.