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Finding the Third Proportional to 28,181 and 43,613

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Solution

The third proportional to 28,181 and 43,613 is: 67,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,181 : 43,613 = 43,613 : x
  2. Step 2: Convert to fraction form
    28,181/43,613 = 43,613/x
  3. Step 3: Cross multiply
    28,181x = 43,613 × 43,613
  4. Step 4: Simplify right side
    28,181x = 1,902,093,769
  5. Step 5: Solve for x
    x = 1,902,093,769/28,181
  6. Step 6: Final answer
    x = 67,495.61

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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.