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Finding the Third Proportional to 407,742 and 629,793

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Solution

The third proportional to 407,742 and 629,793 is: 972,770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,742 : 629,793 = 629,793 : x
  2. Step 2: Convert to fraction form
    407,742/629,793 = 629,793/x
  3. Step 3: Cross multiply
    407,742x = 629,793 × 629,793
  4. Step 4: Simplify right side
    407,742x = 396,639,222,849
  5. Step 5: Solve for x
    x = 396,639,222,849/407,742
  6. Step 6: Final answer
    x = 972,770.09

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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.