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Finding the Third Proportional to 251,062 and 551,880

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Solution

The third proportional to 251,062 and 551,880 is: 1,213,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,062 : 551,880 = 551,880 : x
  2. Step 2: Convert to fraction form
    251,062/551,880 = 551,880/x
  3. Step 3: Cross multiply
    251,062x = 551,880 × 551,880
  4. Step 4: Simplify right side
    251,062x = 304,571,534,400
  5. Step 5: Solve for x
    x = 304,571,534,400/251,062
  6. Step 6: Final answer
    x = 1,213,132.75

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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.