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Finding the Third Proportional to 138,898 and 303,932

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Solution

The third proportional to 138,898 and 303,932 is: 665,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,898 : 303,932 = 303,932 : x
  2. Step 2: Convert to fraction form
    138,898/303,932 = 303,932/x
  3. Step 3: Cross multiply
    138,898x = 303,932 × 303,932
  4. Step 4: Simplify right side
    138,898x = 92,374,660,624
  5. Step 5: Solve for x
    x = 92,374,660,624/138,898
  6. Step 6: Final answer
    x = 665,053.93

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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.