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Finding the Third Proportional to 86,568 and 135,319

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Solution

The third proportional to 86,568 and 135,319 is: 211,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,568 : 135,319 = 135,319 : x
  2. Step 2: Convert to fraction form
    86,568/135,319 = 135,319/x
  3. Step 3: Cross multiply
    86,568x = 135,319 × 135,319
  4. Step 4: Simplify right side
    86,568x = 18,311,231,761
  5. Step 5: Solve for x
    x = 18,311,231,761/86,568
  6. Step 6: Final answer
    x = 211,524.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.