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Finding the Third Proportional to 66,606 and 100,615

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Solution

The third proportional to 66,606 and 100,615 is: 151,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,606 : 100,615 = 100,615 : x
  2. Step 2: Convert to fraction form
    66,606/100,615 = 100,615/x
  3. Step 3: Cross multiply
    66,606x = 100,615 × 100,615
  4. Step 4: Simplify right side
    66,606x = 10,123,378,225
  5. Step 5: Solve for x
    x = 10,123,378,225/66,606
  6. Step 6: Final answer
    x = 151,988.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.