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Finding the Third Proportional to 81,222 and 124,137

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Solution

The third proportional to 81,222 and 124,137 is: 189,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,222 : 124,137 = 124,137 : x
  2. Step 2: Convert to fraction form
    81,222/124,137 = 124,137/x
  3. Step 3: Cross multiply
    81,222x = 124,137 × 124,137
  4. Step 4: Simplify right side
    81,222x = 15,409,994,769
  5. Step 5: Solve for x
    x = 15,409,994,769/81,222
  6. Step 6: Final answer
    x = 189,726.86

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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.