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Finding the Third Proportional to 221,204 and 340,464

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Solution

The third proportional to 221,204 and 340,464 is: 524,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,204 : 340,464 = 340,464 : x
  2. Step 2: Convert to fraction form
    221,204/340,464 = 340,464/x
  3. Step 3: Cross multiply
    221,204x = 340,464 × 340,464
  4. Step 4: Simplify right side
    221,204x = 115,915,735,296
  5. Step 5: Solve for x
    x = 115,915,735,296/221,204
  6. Step 6: Final answer
    x = 524,021.88

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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.