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Finding the Third Proportional to 40,146 and 84,815

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Solution

The third proportional to 40,146 and 84,815 is: 179,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,146 : 84,815 = 84,815 : x
  2. Step 2: Convert to fraction form
    40,146/84,815 = 84,815/x
  3. Step 3: Cross multiply
    40,146x = 84,815 × 84,815
  4. Step 4: Simplify right side
    40,146x = 7,193,584,225
  5. Step 5: Solve for x
    x = 7,193,584,225/40,146
  6. Step 6: Final answer
    x = 179,185.58

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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.