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Finding the Third Proportional to 307,084 and 660,812

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Solution

The third proportional to 307,084 and 660,812 is: 1,421,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,084 : 660,812 = 660,812 : x
  2. Step 2: Convert to fraction form
    307,084/660,812 = 660,812/x
  3. Step 3: Cross multiply
    307,084x = 660,812 × 660,812
  4. Step 4: Simplify right side
    307,084x = 436,672,499,344
  5. Step 5: Solve for x
    x = 436,672,499,344/307,084
  6. Step 6: Final answer
    x = 1,421,996.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.