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Finding the Third Proportional to 81,722 and 127,062

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Solution

The third proportional to 81,722 and 127,062 is: 197,556.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,722 : 127,062 = 127,062 : x
  2. Step 2: Convert to fraction form
    81,722/127,062 = 127,062/x
  3. Step 3: Cross multiply
    81,722x = 127,062 × 127,062
  4. Step 4: Simplify right side
    81,722x = 16,144,751,844
  5. Step 5: Solve for x
    x = 16,144,751,844/81,722
  6. Step 6: Final answer
    x = 197,556.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.