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Finding the Third Proportional to 221,026 and 339,936

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Solution

The third proportional to 221,026 and 339,936 is: 522,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,026 : 339,936 = 339,936 : x
  2. Step 2: Convert to fraction form
    221,026/339,936 = 339,936/x
  3. Step 3: Cross multiply
    221,026x = 339,936 × 339,936
  4. Step 4: Simplify right side
    221,026x = 115,556,484,096
  5. Step 5: Solve for x
    x = 115,556,484,096/221,026
  6. Step 6: Final answer
    x = 522,818.51

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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.