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Finding the Third Proportional to 77,751 and 169,551

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Solution

The third proportional to 77,751 and 169,551 is: 369,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,751 : 169,551 = 169,551 : x
  2. Step 2: Convert to fraction form
    77,751/169,551 = 169,551/x
  3. Step 3: Cross multiply
    77,751x = 169,551 × 169,551
  4. Step 4: Simplify right side
    77,751x = 28,747,541,601
  5. Step 5: Solve for x
    x = 28,747,541,601/77,751
  6. Step 6: Final answer
    x = 369,738.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.