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Finding the Third Proportional to 86,399 and 135,241

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Solution

The third proportional to 86,399 and 135,241 is: 211,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,399 : 135,241 = 135,241 : x
  2. Step 2: Convert to fraction form
    86,399/135,241 = 135,241/x
  3. Step 3: Cross multiply
    86,399x = 135,241 × 135,241
  4. Step 4: Simplify right side
    86,399x = 18,290,128,081
  5. Step 5: Solve for x
    x = 18,290,128,081/86,399
  6. Step 6: Final answer
    x = 211,693.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.