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Finding the Third Proportional to 51,318 and 106,717.50

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Solution

The third proportional to 51,318 and 106,717.50 is: 221,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,318 : 106,717.50 = 106,717.50 : x
  2. Step 2: Convert to fraction form
    51,318/106,717.50 = 106,717.50/x
  3. Step 3: Cross multiply
    51,318x = 106,717.50 × 106,717.50
  4. Step 4: Simplify right side
    51,318x = 11,388,624,806.25
  5. Step 5: Solve for x
    x = 11,388,624,806.25/51,318
  6. Step 6: Final answer
    x = 221,922.62

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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.