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Finding the Third Proportional to 138,928 and 303,543

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Solution

The third proportional to 138,928 and 303,543 is: 663,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,928 : 303,543 = 303,543 : x
  2. Step 2: Convert to fraction form
    138,928/303,543 = 303,543/x
  3. Step 3: Cross multiply
    138,928x = 303,543 × 303,543
  4. Step 4: Simplify right side
    138,928x = 92,138,352,849
  5. Step 5: Solve for x
    x = 92,138,352,849/138,928
  6. Step 6: Final answer
    x = 663,209.38

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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.