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Finding the Third Proportional to 81,469 and 122,726

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Solution

The third proportional to 81,469 and 122,726 is: 184,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,469 : 122,726 = 122,726 : x
  2. Step 2: Convert to fraction form
    81,469/122,726 = 122,726/x
  3. Step 3: Cross multiply
    81,469x = 122,726 × 122,726
  4. Step 4: Simplify right side
    81,469x = 15,061,671,076
  5. Step 5: Solve for x
    x = 15,061,671,076/81,469
  6. Step 6: Final answer
    x = 184,876.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.