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Finding the Third Proportional to 288,485 and 629,458

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Solution

The third proportional to 288,485 and 629,458 is: 1,373,441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,485 : 629,458 = 629,458 : x
  2. Step 2: Convert to fraction form
    288,485/629,458 = 629,458/x
  3. Step 3: Cross multiply
    288,485x = 629,458 × 629,458
  4. Step 4: Simplify right side
    288,485x = 396,217,373,764
  5. Step 5: Solve for x
    x = 396,217,373,764/288,485
  6. Step 6: Final answer
    x = 1,373,441.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.