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Finding the Third Proportional to 72,619 and 159,615

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Solution

The third proportional to 72,619 and 159,615 is: 350,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,619 : 159,615 = 159,615 : x
  2. Step 2: Convert to fraction form
    72,619/159,615 = 159,615/x
  3. Step 3: Cross multiply
    72,619x = 159,615 × 159,615
  4. Step 4: Simplify right side
    72,619x = 25,476,948,225
  5. Step 5: Solve for x
    x = 25,476,948,225/72,619
  6. Step 6: Final answer
    x = 350,830.34

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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.