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Finding the Third Proportional to 81,824 and 125,115

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Solution

The third proportional to 81,824 and 125,115 is: 191,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,824 : 125,115 = 125,115 : x
  2. Step 2: Convert to fraction form
    81,824/125,115 = 125,115/x
  3. Step 3: Cross multiply
    81,824x = 125,115 × 125,115
  4. Step 4: Simplify right side
    81,824x = 15,653,763,225
  5. Step 5: Solve for x
    x = 15,653,763,225/81,824
  6. Step 6: Final answer
    x = 191,310.17

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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.