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Finding the Third Proportional to 138,982 and 303,450

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Solution

The third proportional to 138,982 and 303,450 is: 662,545.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,982 : 303,450 = 303,450 : x
  2. Step 2: Convert to fraction form
    138,982/303,450 = 303,450/x
  3. Step 3: Cross multiply
    138,982x = 303,450 × 303,450
  4. Step 4: Simplify right side
    138,982x = 92,081,902,500
  5. Step 5: Solve for x
    x = 92,081,902,500/138,982
  6. Step 6: Final answer
    x = 662,545.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.