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Finding the Third Proportional to 310,936 and 659,238

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Solution

The third proportional to 310,936 and 659,238 is: 1,397,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,936 : 659,238 = 659,238 : x
  2. Step 2: Convert to fraction form
    310,936/659,238 = 659,238/x
  3. Step 3: Cross multiply
    310,936x = 659,238 × 659,238
  4. Step 4: Simplify right side
    310,936x = 434,594,740,644
  5. Step 5: Solve for x
    x = 434,594,740,644/310,936
  6. Step 6: Final answer
    x = 1,397,698.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.