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Finding the Third Proportional to 81,138 and 174,759

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Solution

The third proportional to 81,138 and 174,759 is: 376,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,138 : 174,759 = 174,759 : x
  2. Step 2: Convert to fraction form
    81,138/174,759 = 174,759/x
  3. Step 3: Cross multiply
    81,138x = 174,759 × 174,759
  4. Step 4: Simplify right side
    81,138x = 30,540,708,081
  5. Step 5: Solve for x
    x = 30,540,708,081/81,138
  6. Step 6: Final answer
    x = 376,404.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.