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Finding the Third Proportional to 802,752.75 and 1,100,791.13

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Solution

The third proportional to 802,752.75 and 1,100,791.13 is: 1,509,482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,752.75 : 1,100,791.13 = 1,100,791.13 : x
  2. Step 2: Convert to fraction form
    802,752.75/1,100,791.13 = 1,100,791.13/x
  3. Step 3: Cross multiply
    802,752.75x = 1,100,791.13 × 1,100,791.13
  4. Step 4: Simplify right side
    802,752.75x = 1,211,741,100,878.77
  5. Step 5: Solve for x
    x = 1,211,741,100,878.77/802,752.75
  6. Step 6: Final answer
    x = 1,509,482.34

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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.