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Finding the Third Proportional to 86,138 and 126,371

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Solution

The third proportional to 86,138 and 126,371 is: 185,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,138 : 126,371 = 126,371 : x
  2. Step 2: Convert to fraction form
    86,138/126,371 = 126,371/x
  3. Step 3: Cross multiply
    86,138x = 126,371 × 126,371
  4. Step 4: Simplify right side
    86,138x = 15,969,629,641
  5. Step 5: Solve for x
    x = 15,969,629,641/86,138
  6. Step 6: Final answer
    x = 185,395.87

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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.