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Finding the Third Proportional to 303,938 and 663,820

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Solution

The third proportional to 303,938 and 663,820 is: 1,449,825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,938 : 663,820 = 663,820 : x
  2. Step 2: Convert to fraction form
    303,938/663,820 = 663,820/x
  3. Step 3: Cross multiply
    303,938x = 663,820 × 663,820
  4. Step 4: Simplify right side
    303,938x = 440,656,992,400
  5. Step 5: Solve for x
    x = 440,656,992,400/303,938
  6. Step 6: Final answer
    x = 1,449,825.27

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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.