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Finding the Third Proportional to 138,722 and 303,126

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Solution

The third proportional to 138,722 and 303,126 is: 662,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,722 : 303,126 = 303,126 : x
  2. Step 2: Convert to fraction form
    138,722/303,126 = 303,126/x
  3. Step 3: Cross multiply
    138,722x = 303,126 × 303,126
  4. Step 4: Simplify right side
    138,722x = 91,885,371,876
  5. Step 5: Solve for x
    x = 91,885,371,876/138,722
  6. Step 6: Final answer
    x = 662,370.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.