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Finding the Third Proportional to 40,953 and 86,279

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Solution

The third proportional to 40,953 and 86,279 is: 181,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,953 : 86,279 = 86,279 : x
  2. Step 2: Convert to fraction form
    40,953/86,279 = 86,279/x
  3. Step 3: Cross multiply
    40,953x = 86,279 × 86,279
  4. Step 4: Simplify right side
    40,953x = 7,444,065,841
  5. Step 5: Solve for x
    x = 7,444,065,841/40,953
  6. Step 6: Final answer
    x = 181,770.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.