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Finding the Third Proportional to 393,718 and 582,274

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Solution

The third proportional to 393,718 and 582,274 is: 861,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,718 : 582,274 = 582,274 : x
  2. Step 2: Convert to fraction form
    393,718/582,274 = 582,274/x
  3. Step 3: Cross multiply
    393,718x = 582,274 × 582,274
  4. Step 4: Simplify right side
    393,718x = 339,043,011,076
  5. Step 5: Solve for x
    x = 339,043,011,076/393,718
  6. Step 6: Final answer
    x = 861,131.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.