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Finding the Third Proportional to 89,181 and 122,289

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Solution

The third proportional to 89,181 and 122,289 is: 167,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,181 : 122,289 = 122,289 : x
  2. Step 2: Convert to fraction form
    89,181/122,289 = 122,289/x
  3. Step 3: Cross multiply
    89,181x = 122,289 × 122,289
  4. Step 4: Simplify right side
    89,181x = 14,954,599,521
  5. Step 5: Solve for x
    x = 14,954,599,521/89,181
  6. Step 6: Final answer
    x = 167,688.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.