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Finding the Third Proportional to 802,734 and 1,100,764

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Solution

The third proportional to 802,734 and 1,100,764 is: 1,509,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,734 : 1,100,764 = 1,100,764 : x
  2. Step 2: Convert to fraction form
    802,734/1,100,764 = 1,100,764/x
  3. Step 3: Cross multiply
    802,734x = 1,100,764 × 1,100,764
  4. Step 4: Simplify right side
    802,734x = 1,211,681,383,696
  5. Step 5: Solve for x
    x = 1,211,681,383,696/802,734
  6. Step 6: Final answer
    x = 1,509,443.21

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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.