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Finding the Third Proportional to 57,067 and 84,121

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Solution

The third proportional to 57,067 and 84,121 is: 124,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,067 : 84,121 = 84,121 : x
  2. Step 2: Convert to fraction form
    57,067/84,121 = 84,121/x
  3. Step 3: Cross multiply
    57,067x = 84,121 × 84,121
  4. Step 4: Simplify right side
    57,067x = 7,076,342,641
  5. Step 5: Solve for x
    x = 7,076,342,641/57,067
  6. Step 6: Final answer
    x = 124,000.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.