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Finding the Third Proportional to 392,649 and 622,752

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Solution

The third proportional to 392,649 and 622,752 is: 987,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,649 : 622,752 = 622,752 : x
  2. Step 2: Convert to fraction form
    392,649/622,752 = 622,752/x
  3. Step 3: Cross multiply
    392,649x = 622,752 × 622,752
  4. Step 4: Simplify right side
    392,649x = 387,820,053,504
  5. Step 5: Solve for x
    x = 387,820,053,504/392,649
  6. Step 6: Final answer
    x = 987,701.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.