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Finding the Third Proportional to 307,932 and 640,344

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Solution

The third proportional to 307,932 and 640,344 is: 1,331,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,932 : 640,344 = 640,344 : x
  2. Step 2: Convert to fraction form
    307,932/640,344 = 640,344/x
  3. Step 3: Cross multiply
    307,932x = 640,344 × 640,344
  4. Step 4: Simplify right side
    307,932x = 410,040,438,336
  5. Step 5: Solve for x
    x = 410,040,438,336/307,932
  6. Step 6: Final answer
    x = 1,331,594.11

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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.