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Finding the Third Proportional to 251,039 and 551,836

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Solution

The third proportional to 251,039 and 551,836 is: 1,213,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,039 : 551,836 = 551,836 : x
  2. Step 2: Convert to fraction form
    251,039/551,836 = 551,836/x
  3. Step 3: Cross multiply
    251,039x = 551,836 × 551,836
  4. Step 4: Simplify right side
    251,039x = 304,522,970,896
  5. Step 5: Solve for x
    x = 304,522,970,896/251,039
  6. Step 6: Final answer
    x = 1,213,050.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.