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Finding the Third Proportional to 420,206 and 628,822

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Solution

The third proportional to 420,206 and 628,822 is: 941,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,206 : 628,822 = 628,822 : x
  2. Step 2: Convert to fraction form
    420,206/628,822 = 628,822/x
  3. Step 3: Cross multiply
    420,206x = 628,822 × 628,822
  4. Step 4: Simplify right side
    420,206x = 395,417,107,684
  5. Step 5: Solve for x
    x = 395,417,107,684/420,206
  6. Step 6: Final answer
    x = 941,007.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.