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Finding the Third Proportional to 293,986 and 644,021

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Solution

The third proportional to 293,986 and 644,021 is: 1,410,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,986 : 644,021 = 644,021 : x
  2. Step 2: Convert to fraction form
    293,986/644,021 = 644,021/x
  3. Step 3: Cross multiply
    293,986x = 644,021 × 644,021
  4. Step 4: Simplify right side
    293,986x = 414,763,048,441
  5. Step 5: Solve for x
    x = 414,763,048,441/293,986
  6. Step 6: Final answer
    x = 1,410,825.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.