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Finding the Third Proportional to 85,077 and 181,629

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Solution

The third proportional to 85,077 and 181,629 is: 387,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,077 : 181,629 = 181,629 : x
  2. Step 2: Convert to fraction form
    85,077/181,629 = 181,629/x
  3. Step 3: Cross multiply
    85,077x = 181,629 × 181,629
  4. Step 4: Simplify right side
    85,077x = 32,989,093,641
  5. Step 5: Solve for x
    x = 32,989,093,641/85,077
  6. Step 6: Final answer
    x = 387,755.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.