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Finding the Third Proportional to 81,672 and 122,986

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Solution

The third proportional to 81,672 and 122,986 is: 185,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,672 : 122,986 = 122,986 : x
  2. Step 2: Convert to fraction form
    81,672/122,986 = 122,986/x
  3. Step 3: Cross multiply
    81,672x = 122,986 × 122,986
  4. Step 4: Simplify right side
    81,672x = 15,125,556,196
  5. Step 5: Solve for x
    x = 15,125,556,196/81,672
  6. Step 6: Final answer
    x = 185,198.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.