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Finding the Third Proportional to 68,072 and 99,734

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Solution

The third proportional to 68,072 and 99,734 is: 146,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,072 : 99,734 = 99,734 : x
  2. Step 2: Convert to fraction form
    68,072/99,734 = 99,734/x
  3. Step 3: Cross multiply
    68,072x = 99,734 × 99,734
  4. Step 4: Simplify right side
    68,072x = 9,946,870,756
  5. Step 5: Solve for x
    x = 9,946,870,756/68,072
  6. Step 6: Final answer
    x = 146,122.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.