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Finding the Third Proportional to 39,021 and 84,197

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Solution

The third proportional to 39,021 and 84,197 is: 181,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,021 : 84,197 = 84,197 : x
  2. Step 2: Convert to fraction form
    39,021/84,197 = 84,197/x
  3. Step 3: Cross multiply
    39,021x = 84,197 × 84,197
  4. Step 4: Simplify right side
    39,021x = 7,089,134,809
  5. Step 5: Solve for x
    x = 7,089,134,809/39,021
  6. Step 6: Final answer
    x = 181,674.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.