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Finding the Third Proportional to 307,736 and 639,932

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Solution

The third proportional to 307,736 and 639,932 is: 1,330,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,736 : 639,932 = 639,932 : x
  2. Step 2: Convert to fraction form
    307,736/639,932 = 639,932/x
  3. Step 3: Cross multiply
    307,736x = 639,932 × 639,932
  4. Step 4: Simplify right side
    307,736x = 409,512,964,624
  5. Step 5: Solve for x
    x = 409,512,964,624/307,736
  6. Step 6: Final answer
    x = 1,330,728.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.