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Finding the Third Proportional to 81,610 and 122,036

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Solution

The third proportional to 81,610 and 122,036 is: 182,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,610 : 122,036 = 122,036 : x
  2. Step 2: Convert to fraction form
    81,610/122,036 = 122,036/x
  3. Step 3: Cross multiply
    81,610x = 122,036 × 122,036
  4. Step 4: Simplify right side
    81,610x = 14,892,785,296
  5. Step 5: Solve for x
    x = 14,892,785,296/81,610
  6. Step 6: Final answer
    x = 182,487.26

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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.