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Finding the Third Proportional to 81,710 and 126,225

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Solution

The third proportional to 81,710 and 126,225 is: 194,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,710 : 126,225 = 126,225 : x
  2. Step 2: Convert to fraction form
    81,710/126,225 = 126,225/x
  3. Step 3: Cross multiply
    81,710x = 126,225 × 126,225
  4. Step 4: Simplify right side
    81,710x = 15,932,750,625
  5. Step 5: Solve for x
    x = 15,932,750,625/81,710
  6. Step 6: Final answer
    x = 194,991.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.