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Finding the Third Proportional to 51,806 and 76,615

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Solution

The third proportional to 51,806 and 76,615 is: 113,304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806 : 76,615 = 76,615 : x
  2. Step 2: Convert to fraction form
    51,806/76,615 = 76,615/x
  3. Step 3: Cross multiply
    51,806x = 76,615 × 76,615
  4. Step 4: Simplify right side
    51,806x = 5,869,858,225
  5. Step 5: Solve for x
    x = 5,869,858,225/51,806
  6. Step 6: Final answer
    x = 113,304.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.