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Finding the Third Proportional to 407,743 and 629,794.50

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Solution

The third proportional to 407,743 and 629,794.50 is: 972,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,743 : 629,794.50 = 629,794.50 : x
  2. Step 2: Convert to fraction form
    407,743/629,794.50 = 629,794.50/x
  3. Step 3: Cross multiply
    407,743x = 629,794.50 × 629,794.50
  4. Step 4: Simplify right side
    407,743x = 396,641,112,230.25
  5. Step 5: Solve for x
    x = 396,641,112,230.25/407,743
  6. Step 6: Final answer
    x = 972,772.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.