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Finding the Third Proportional to 512,663 and 823,675

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Solution

The third proportional to 512,663 and 823,675 is: 1,323,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,663 : 823,675 = 823,675 : x
  2. Step 2: Convert to fraction form
    512,663/823,675 = 823,675/x
  3. Step 3: Cross multiply
    512,663x = 823,675 × 823,675
  4. Step 4: Simplify right side
    512,663x = 678,440,505,625
  5. Step 5: Solve for x
    x = 678,440,505,625/512,663
  6. Step 6: Final answer
    x = 1,323,365.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.