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Finding the Third Proportional to 253,874 and 551,512

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Solution

The third proportional to 253,874 and 551,512 is: 1,198,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,874 : 551,512 = 551,512 : x
  2. Step 2: Convert to fraction form
    253,874/551,512 = 551,512/x
  3. Step 3: Cross multiply
    253,874x = 551,512 × 551,512
  4. Step 4: Simplify right side
    253,874x = 304,165,486,144
  5. Step 5: Solve for x
    x = 304,165,486,144/253,874
  6. Step 6: Final answer
    x = 1,198,096.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.