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Finding the Third Proportional to 420,036 and 629,886

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Solution

The third proportional to 420,036 and 629,886 is: 944,577.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,036 : 629,886 = 629,886 : x
  2. Step 2: Convert to fraction form
    420,036/629,886 = 629,886/x
  3. Step 3: Cross multiply
    420,036x = 629,886 × 629,886
  4. Step 4: Simplify right side
    420,036x = 396,756,372,996
  5. Step 5: Solve for x
    x = 396,756,372,996/420,036
  6. Step 6: Final answer
    x = 944,577.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.