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Finding the Third Proportional to 86,019 and 126,489

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Solution

The third proportional to 86,019 and 126,489 is: 185,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,019 : 126,489 = 126,489 : x
  2. Step 2: Convert to fraction form
    86,019/126,489 = 126,489/x
  3. Step 3: Cross multiply
    86,019x = 126,489 × 126,489
  4. Step 4: Simplify right side
    86,019x = 15,999,467,121
  5. Step 5: Solve for x
    x = 15,999,467,121/86,019
  6. Step 6: Final answer
    x = 185,999.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.