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Finding the Third Proportional to 51,569 and 109,239

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Solution

The third proportional to 51,569 and 109,239 is: 231,401.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,569 : 109,239 = 109,239 : x
  2. Step 2: Convert to fraction form
    51,569/109,239 = 109,239/x
  3. Step 3: Cross multiply
    51,569x = 109,239 × 109,239
  4. Step 4: Simplify right side
    51,569x = 11,933,159,121
  5. Step 5: Solve for x
    x = 11,933,159,121/51,569
  6. Step 6: Final answer
    x = 231,401.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.