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Finding the Third Proportional to 251,058 and 551,872

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Solution

The third proportional to 251,058 and 551,872 is: 1,213,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,058 : 551,872 = 551,872 : x
  2. Step 2: Convert to fraction form
    251,058/551,872 = 551,872/x
  3. Step 3: Cross multiply
    251,058x = 551,872 × 551,872
  4. Step 4: Simplify right side
    251,058x = 304,562,704,384
  5. Step 5: Solve for x
    x = 304,562,704,384/251,058
  6. Step 6: Final answer
    x = 1,213,116.91

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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.