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Finding the Third Proportional to 297,780 and 649,104

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Solution

The third proportional to 297,780 and 649,104 is: 1,414,923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,780 : 649,104 = 649,104 : x
  2. Step 2: Convert to fraction form
    297,780/649,104 = 649,104/x
  3. Step 3: Cross multiply
    297,780x = 649,104 × 649,104
  4. Step 4: Simplify right side
    297,780x = 421,336,002,816
  5. Step 5: Solve for x
    x = 421,336,002,816/297,780
  6. Step 6: Final answer
    x = 1,414,923.78

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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.