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Finding the Third Proportional to 396,628 and 773,330

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Solution

The third proportional to 396,628 and 773,330 is: 1,507,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,628 : 773,330 = 773,330 : x
  2. Step 2: Convert to fraction form
    396,628/773,330 = 773,330/x
  3. Step 3: Cross multiply
    396,628x = 773,330 × 773,330
  4. Step 4: Simplify right side
    396,628x = 598,039,288,900
  5. Step 5: Solve for x
    x = 598,039,288,900/396,628
  6. Step 6: Final answer
    x = 1,507,809.05

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.