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Finding the Third Proportional to 288,700 and 629,864

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Solution

The third proportional to 288,700 and 629,864 is: 1,374,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,700 : 629,864 = 629,864 : x
  2. Step 2: Convert to fraction form
    288,700/629,864 = 629,864/x
  3. Step 3: Cross multiply
    288,700x = 629,864 × 629,864
  4. Step 4: Simplify right side
    288,700x = 396,728,658,496
  5. Step 5: Solve for x
    x = 396,728,658,496/288,700
  6. Step 6: Final answer
    x = 1,374,190.02

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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.