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Finding the Third Proportional to 43,381 and 65,619

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Solution

The third proportional to 43,381 and 65,619 is: 99,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,381 : 65,619 = 65,619 : x
  2. Step 2: Convert to fraction form
    43,381/65,619 = 65,619/x
  3. Step 3: Cross multiply
    43,381x = 65,619 × 65,619
  4. Step 4: Simplify right side
    43,381x = 4,305,853,161
  5. Step 5: Solve for x
    x = 4,305,853,161/43,381
  6. Step 6: Final answer
    x = 99,256.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.