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Finding the Third Proportional to 172,224 and 261,981

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Solution

The third proportional to 172,224 and 261,981 is: 398,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,224 : 261,981 = 261,981 : x
  2. Step 2: Convert to fraction form
    172,224/261,981 = 261,981/x
  3. Step 3: Cross multiply
    172,224x = 261,981 × 261,981
  4. Step 4: Simplify right side
    172,224x = 68,634,044,361
  5. Step 5: Solve for x
    x = 68,634,044,361/172,224
  6. Step 6: Final answer
    x = 398,516.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.