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Finding the Third Proportional to 251,012 and 382,400

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Solution

The third proportional to 251,012 and 382,400 is: 582,560.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,012 : 382,400 = 382,400 : x
  2. Step 2: Convert to fraction form
    251,012/382,400 = 382,400/x
  3. Step 3: Cross multiply
    251,012x = 382,400 × 382,400
  4. Step 4: Simplify right side
    251,012x = 146,229,760,000
  5. Step 5: Solve for x
    x = 146,229,760,000/251,012
  6. Step 6: Final answer
    x = 582,560.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.