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Finding the Third Proportional to 57,121 and 85,345

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Solution

The third proportional to 57,121 and 85,345 is: 127,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,121 : 85,345 = 85,345 : x
  2. Step 2: Convert to fraction form
    57,121/85,345 = 85,345/x
  3. Step 3: Cross multiply
    57,121x = 85,345 × 85,345
  4. Step 4: Simplify right side
    57,121x = 7,283,769,025
  5. Step 5: Solve for x
    x = 7,283,769,025/57,121
  6. Step 6: Final answer
    x = 127,514.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.