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Finding the Third Proportional to 81,635 and 124,869

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Solution

The third proportional to 81,635 and 124,869 is: 190,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,635 : 124,869 = 124,869 : x
  2. Step 2: Convert to fraction form
    81,635/124,869 = 124,869/x
  3. Step 3: Cross multiply
    81,635x = 124,869 × 124,869
  4. Step 4: Simplify right side
    81,635x = 15,592,267,161
  5. Step 5: Solve for x
    x = 15,592,267,161/81,635
  6. Step 6: Final answer
    x = 190,999.78

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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.