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Finding the Third Proportional to 288,500 and 629,488

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Solution

The third proportional to 288,500 and 629,488 is: 1,373,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,500 : 629,488 = 629,488 : x
  2. Step 2: Convert to fraction form
    288,500/629,488 = 629,488/x
  3. Step 3: Cross multiply
    288,500x = 629,488 × 629,488
  4. Step 4: Simplify right side
    288,500x = 396,255,142,144
  5. Step 5: Solve for x
    x = 396,255,142,144/288,500
  6. Step 6: Final answer
    x = 1,373,501.36

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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.