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Finding the Third Proportional to 318,576 and 694,176

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Solution

The third proportional to 318,576 and 694,176 is: 1,512,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,576 : 694,176 = 694,176 : x
  2. Step 2: Convert to fraction form
    318,576/694,176 = 694,176/x
  3. Step 3: Cross multiply
    318,576x = 694,176 × 694,176
  4. Step 4: Simplify right side
    318,576x = 481,880,318,976
  5. Step 5: Solve for x
    x = 481,880,318,976/318,576
  6. Step 6: Final answer
    x = 1,512,607.10

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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.