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Finding the Third Proportional to 71,811 and 156,068

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Solution

The third proportional to 71,811 and 156,068 is: 339,185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,811 : 156,068 = 156,068 : x
  2. Step 2: Convert to fraction form
    71,811/156,068 = 156,068/x
  3. Step 3: Cross multiply
    71,811x = 156,068 × 156,068
  4. Step 4: Simplify right side
    71,811x = 24,357,220,624
  5. Step 5: Solve for x
    x = 24,357,220,624/71,811
  6. Step 6: Final answer
    x = 339,185.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.