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Finding the Third Proportional to 221,004 and 339,896

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Solution

The third proportional to 221,004 and 339,896 is: 522,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,004 : 339,896 = 339,896 : x
  2. Step 2: Convert to fraction form
    221,004/339,896 = 339,896/x
  3. Step 3: Cross multiply
    221,004x = 339,896 × 339,896
  4. Step 4: Simplify right side
    221,004x = 115,529,290,816
  5. Step 5: Solve for x
    x = 115,529,290,816/221,004
  6. Step 6: Final answer
    x = 522,747.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.