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Finding the Third Proportional to 40,889 and 84,329

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Solution

The third proportional to 40,889 and 84,329 is: 173,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,889 : 84,329 = 84,329 : x
  2. Step 2: Convert to fraction form
    40,889/84,329 = 84,329/x
  3. Step 3: Cross multiply
    40,889x = 84,329 × 84,329
  4. Step 4: Simplify right side
    40,889x = 7,111,380,241
  5. Step 5: Solve for x
    x = 7,111,380,241/40,889
  6. Step 6: Final answer
    x = 173,919.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.