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Finding the Third Proportional to 310,936.50 and 659,241

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Solution

The third proportional to 310,936.50 and 659,241 is: 1,397,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,936.50 : 659,241 = 659,241 : x
  2. Step 2: Convert to fraction form
    310,936.50/659,241 = 659,241/x
  3. Step 3: Cross multiply
    310,936.50x = 659,241 × 659,241
  4. Step 4: Simplify right side
    310,936.50x = 434,598,696,081
  5. Step 5: Solve for x
    x = 434,598,696,081/310,936.50
  6. Step 6: Final answer
    x = 1,397,708.84

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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.