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Finding the Third Proportional to 627,814 and 911,104

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Solution

The third proportional to 627,814 and 911,104 is: 1,322,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,814 : 911,104 = 911,104 : x
  2. Step 2: Convert to fraction form
    627,814/911,104 = 911,104/x
  3. Step 3: Cross multiply
    627,814x = 911,104 × 911,104
  4. Step 4: Simplify right side
    627,814x = 830,110,498,816
  5. Step 5: Solve for x
    x = 830,110,498,816/627,814
  6. Step 6: Final answer
    x = 1,322,223.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.