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Finding the Third Proportional to 81,636 and 124,869

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Solution

The third proportional to 81,636 and 124,869 is: 190,997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,636 : 124,869 = 124,869 : x
  2. Step 2: Convert to fraction form
    81,636/124,869 = 124,869/x
  3. Step 3: Cross multiply
    81,636x = 124,869 × 124,869
  4. Step 4: Simplify right side
    81,636x = 15,592,267,161
  5. Step 5: Solve for x
    x = 15,592,267,161/81,636
  6. Step 6: Final answer
    x = 190,997.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.