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Finding the Third Proportional to 71,467 and 161,615

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Solution

The third proportional to 71,467 and 161,615 is: 365,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,467 : 161,615 = 161,615 : x
  2. Step 2: Convert to fraction form
    71,467/161,615 = 161,615/x
  3. Step 3: Cross multiply
    71,467x = 161,615 × 161,615
  4. Step 4: Simplify right side
    71,467x = 26,119,408,225
  5. Step 5: Solve for x
    x = 26,119,408,225/71,467
  6. Step 6: Final answer
    x = 365,475.09

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.