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Finding the Third Proportional to 86,397 and 135,238

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Solution

The third proportional to 86,397 and 135,238 is: 211,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,397 : 135,238 = 135,238 : x
  2. Step 2: Convert to fraction form
    86,397/135,238 = 135,238/x
  3. Step 3: Cross multiply
    86,397x = 135,238 × 135,238
  4. Step 4: Simplify right side
    86,397x = 18,289,316,644
  5. Step 5: Solve for x
    x = 18,289,316,644/86,397
  6. Step 6: Final answer
    x = 211,689.26

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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.