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Finding the Third Proportional to 253,986 and 551,756

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Solution

The third proportional to 253,986 and 551,756 is: 1,198,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,986 : 551,756 = 551,756 : x
  2. Step 2: Convert to fraction form
    253,986/551,756 = 551,756/x
  3. Step 3: Cross multiply
    253,986x = 551,756 × 551,756
  4. Step 4: Simplify right side
    253,986x = 304,434,683,536
  5. Step 5: Solve for x
    x = 304,434,683,536/253,986
  6. Step 6: Final answer
    x = 1,198,627.81

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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.