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Finding the Third Proportional to 361,546 and 690,286

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Solution

The third proportional to 361,546 and 690,286 is: 1,317,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,546 : 690,286 = 690,286 : x
  2. Step 2: Convert to fraction form
    361,546/690,286 = 690,286/x
  3. Step 3: Cross multiply
    361,546x = 690,286 × 690,286
  4. Step 4: Simplify right side
    361,546x = 476,494,761,796
  5. Step 5: Solve for x
    x = 476,494,761,796/361,546
  6. Step 6: Final answer
    x = 1,317,936.75

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.