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Finding the Third Proportional to 247,059 and 523,278

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Solution

The third proportional to 247,059 and 523,278 is: 1,108,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,059 : 523,278 = 523,278 : x
  2. Step 2: Convert to fraction form
    247,059/523,278 = 523,278/x
  3. Step 3: Cross multiply
    247,059x = 523,278 × 523,278
  4. Step 4: Simplify right side
    247,059x = 273,819,865,284
  5. Step 5: Solve for x
    x = 273,819,865,284/247,059
  6. Step 6: Final answer
    x = 1,108,317.71

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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.