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Finding the Third Proportional to 802,756 and 1,100,799

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Solution

The third proportional to 802,756 and 1,100,799 is: 1,509,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,756 : 1,100,799 = 1,100,799 : x
  2. Step 2: Convert to fraction form
    802,756/1,100,799 = 1,100,799/x
  3. Step 3: Cross multiply
    802,756x = 1,100,799 × 1,100,799
  4. Step 4: Simplify right side
    802,756x = 1,211,758,438,401
  5. Step 5: Solve for x
    x = 1,211,758,438,401/802,756
  6. Step 6: Final answer
    x = 1,509,497.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.