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Finding the Third Proportional to 51,315 and 106,662

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Solution

The third proportional to 51,315 and 106,662 is: 221,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,315 : 106,662 = 106,662 : x
  2. Step 2: Convert to fraction form
    51,315/106,662 = 106,662/x
  3. Step 3: Cross multiply
    51,315x = 106,662 × 106,662
  4. Step 4: Simplify right side
    51,315x = 11,376,782,244
  5. Step 5: Solve for x
    x = 11,376,782,244/51,315
  6. Step 6: Final answer
    x = 221,704.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.