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Finding the Third Proportional to 681,920 and 1,022,880

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Solution

The third proportional to 681,920 and 1,022,880 is: 1,534,320

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,920 : 1,022,880 = 1,022,880 : x
  2. Step 2: Convert to fraction form
    681,920/1,022,880 = 1,022,880/x
  3. Step 3: Cross multiply
    681,920x = 1,022,880 × 1,022,880
  4. Step 4: Simplify right side
    681,920x = 1,046,283,494,400
  5. Step 5: Solve for x
    x = 1,046,283,494,400/681,920
  6. Step 6: Final answer
    x = 1,534,320

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.