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Finding the Third Proportional to 551,084 and 779,997

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Solution

The third proportional to 551,084 and 779,997 is: 1,103,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,084 : 779,997 = 779,997 : x
  2. Step 2: Convert to fraction form
    551,084/779,997 = 779,997/x
  3. Step 3: Cross multiply
    551,084x = 779,997 × 779,997
  4. Step 4: Simplify right side
    551,084x = 608,395,320,009
  5. Step 5: Solve for x
    x = 608,395,320,009/551,084
  6. Step 6: Final answer
    x = 1,103,997.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.