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Finding the Third Proportional to 512,661 and 823,672

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Solution

The third proportional to 512,661 and 823,672 is: 1,323,360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,661 : 823,672 = 823,672 : x
  2. Step 2: Convert to fraction form
    512,661/823,672 = 823,672/x
  3. Step 3: Cross multiply
    512,661x = 823,672 × 823,672
  4. Step 4: Simplify right side
    512,661x = 678,435,563,584
  5. Step 5: Solve for x
    x = 678,435,563,584/512,661
  6. Step 6: Final answer
    x = 1,323,360.98

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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.