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Finding the Third Proportional to 398,576 and 582,536

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Solution

The third proportional to 398,576 and 582,536 is: 851,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,576 : 582,536 = 582,536 : x
  2. Step 2: Convert to fraction form
    398,576/582,536 = 582,536/x
  3. Step 3: Cross multiply
    398,576x = 582,536 × 582,536
  4. Step 4: Simplify right side
    398,576x = 339,348,191,296
  5. Step 5: Solve for x
    x = 339,348,191,296/398,576
  6. Step 6: Final answer
    x = 851,401.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.