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Finding the Third Proportional to 68,728 and 100,631

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Solution

The third proportional to 68,728 and 100,631 is: 147,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,728 : 100,631 = 100,631 : x
  2. Step 2: Convert to fraction form
    68,728/100,631 = 100,631/x
  3. Step 3: Cross multiply
    68,728x = 100,631 × 100,631
  4. Step 4: Simplify right side
    68,728x = 10,126,598,161
  5. Step 5: Solve for x
    x = 10,126,598,161/68,728
  6. Step 6: Final answer
    x = 147,343.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.