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Finding the Third Proportional to 153,189 and 336,615

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Solution

The third proportional to 153,189 and 336,615 is: 739,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,189 : 336,615 = 336,615 : x
  2. Step 2: Convert to fraction form
    153,189/336,615 = 336,615/x
  3. Step 3: Cross multiply
    153,189x = 336,615 × 336,615
  4. Step 4: Simplify right side
    153,189x = 113,309,658,225
  5. Step 5: Solve for x
    x = 113,309,658,225/153,189
  6. Step 6: Final answer
    x = 739,672.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.