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Finding the Third Proportional to 81,602 and 122,024

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Solution

The third proportional to 81,602 and 122,024 is: 182,469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,602 : 122,024 = 122,024 : x
  2. Step 2: Convert to fraction form
    81,602/122,024 = 122,024/x
  3. Step 3: Cross multiply
    81,602x = 122,024 × 122,024
  4. Step 4: Simplify right side
    81,602x = 14,889,856,576
  5. Step 5: Solve for x
    x = 14,889,856,576/81,602
  6. Step 6: Final answer
    x = 182,469.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.