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Finding the Third Proportional to 65,600 and 135,867

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Solution

The third proportional to 65,600 and 135,867 is: 281,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,600 : 135,867 = 135,867 : x
  2. Step 2: Convert to fraction form
    65,600/135,867 = 135,867/x
  3. Step 3: Cross multiply
    65,600x = 135,867 × 135,867
  4. Step 4: Simplify right side
    65,600x = 18,459,841,689
  5. Step 5: Solve for x
    x = 18,459,841,689/65,600
  6. Step 6: Final answer
    x = 281,400.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.