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Finding the Third Proportional to 445,990 and 635,767

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Solution

The third proportional to 445,990 and 635,767 is: 906,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,990 : 635,767 = 635,767 : x
  2. Step 2: Convert to fraction form
    445,990/635,767 = 635,767/x
  3. Step 3: Cross multiply
    445,990x = 635,767 × 635,767
  4. Step 4: Simplify right side
    445,990x = 404,199,678,289
  5. Step 5: Solve for x
    x = 404,199,678,289/445,990
  6. Step 6: Final answer
    x = 906,297.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.