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Finding the Third Proportional to 203,396 and 300,940

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Solution

The third proportional to 203,396 and 300,940 is: 445,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,396 : 300,940 = 300,940 : x
  2. Step 2: Convert to fraction form
    203,396/300,940 = 300,940/x
  3. Step 3: Cross multiply
    203,396x = 300,940 × 300,940
  4. Step 4: Simplify right side
    203,396x = 90,564,883,600
  5. Step 5: Solve for x
    x = 90,564,883,600/203,396
  6. Step 6: Final answer
    x = 445,263.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.