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Finding the Third Proportional to 81,689 and 124,936

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Solution

The third proportional to 81,689 and 124,936 is: 191,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,689 : 124,936 = 124,936 : x
  2. Step 2: Convert to fraction form
    81,689/124,936 = 124,936/x
  3. Step 3: Cross multiply
    81,689x = 124,936 × 124,936
  4. Step 4: Simplify right side
    81,689x = 15,609,004,096
  5. Step 5: Solve for x
    x = 15,609,004,096/81,689
  6. Step 6: Final answer
    x = 191,078.41

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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.