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Finding the Third Proportional to 138,902 and 303,940

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Solution

The third proportional to 138,902 and 303,940 is: 665,069.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,902 : 303,940 = 303,940 : x
  2. Step 2: Convert to fraction form
    138,902/303,940 = 303,940/x
  3. Step 3: Cross multiply
    138,902x = 303,940 × 303,940
  4. Step 4: Simplify right side
    138,902x = 92,379,523,600
  5. Step 5: Solve for x
    x = 92,379,523,600/138,902
  6. Step 6: Final answer
    x = 665,069.79

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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.