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Finding the Third Proportional to 81,398 and 122,011

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Solution

The third proportional to 81,398 and 122,011 is: 182,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,398 : 122,011 = 122,011 : x
  2. Step 2: Convert to fraction form
    81,398/122,011 = 122,011/x
  3. Step 3: Cross multiply
    81,398x = 122,011 × 122,011
  4. Step 4: Simplify right side
    81,398x = 14,886,684,121
  5. Step 5: Solve for x
    x = 14,886,684,121/81,398
  6. Step 6: Final answer
    x = 182,887.59

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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.