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Finding the Third Proportional to 312,000 and 673,812

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Solution

The third proportional to 312,000 and 673,812 is: 1,455,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,000 : 673,812 = 673,812 : x
  2. Step 2: Convert to fraction form
    312,000/673,812 = 673,812/x
  3. Step 3: Cross multiply
    312,000x = 673,812 × 673,812
  4. Step 4: Simplify right side
    312,000x = 454,022,611,344
  5. Step 5: Solve for x
    x = 454,022,611,344/312,000
  6. Step 6: Final answer
    x = 1,455,200.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.