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Finding the Third Proportional to 251,057 and 551,868

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Solution

The third proportional to 251,057 and 551,868 is: 1,213,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,057 : 551,868 = 551,868 : x
  2. Step 2: Convert to fraction form
    251,057/551,868 = 551,868/x
  3. Step 3: Cross multiply
    251,057x = 551,868 × 551,868
  4. Step 4: Simplify right side
    251,057x = 304,558,289,424
  5. Step 5: Solve for x
    x = 304,558,289,424/251,057
  6. Step 6: Final answer
    x = 1,213,104.15

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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.