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Finding the Third Proportional to 181,214 and 261,021

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Solution

The third proportional to 181,214 and 261,021 is: 375,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,214 : 261,021 = 261,021 : x
  2. Step 2: Convert to fraction form
    181,214/261,021 = 261,021/x
  3. Step 3: Cross multiply
    181,214x = 261,021 × 261,021
  4. Step 4: Simplify right side
    181,214x = 68,131,962,441
  5. Step 5: Solve for x
    x = 68,131,962,441/181,214
  6. Step 6: Final answer
    x = 375,975.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.