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Finding the Third Proportional to 315,544 and 694,172

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Solution

The third proportional to 315,544 and 694,172 is: 1,527,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,544 : 694,172 = 694,172 : x
  2. Step 2: Convert to fraction form
    315,544/694,172 = 694,172/x
  3. Step 3: Cross multiply
    315,544x = 694,172 × 694,172
  4. Step 4: Simplify right side
    315,544x = 481,874,765,584
  5. Step 5: Solve for x
    x = 481,874,765,584/315,544
  6. Step 6: Final answer
    x = 1,527,123.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.