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Finding the Third Proportional to 221,238 and 340,251

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Solution

The third proportional to 221,238 and 340,251 is: 523,285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,238 : 340,251 = 340,251 : x
  2. Step 2: Convert to fraction form
    221,238/340,251 = 340,251/x
  3. Step 3: Cross multiply
    221,238x = 340,251 × 340,251
  4. Step 4: Simplify right side
    221,238x = 115,770,743,001
  5. Step 5: Solve for x
    x = 115,770,743,001/221,238
  6. Step 6: Final answer
    x = 523,285.98

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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.