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Finding the Third Proportional to 420,360 and 629,004

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Solution

The third proportional to 420,360 and 629,004 is: 941,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,360 : 629,004 = 629,004 : x
  2. Step 2: Convert to fraction form
    420,360/629,004 = 629,004/x
  3. Step 3: Cross multiply
    420,360x = 629,004 × 629,004
  4. Step 4: Simplify right side
    420,360x = 395,646,032,016
  5. Step 5: Solve for x
    x = 395,646,032,016/420,360
  6. Step 6: Final answer
    x = 941,207.61

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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.