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Finding the Third Proportional to 8,613 and 18,764.16

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Solution

The third proportional to 8,613 and 18,764.16 is: 40,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613 : 18,764.16 = 18,764.16 : x
  2. Step 2: Convert to fraction form
    8,613/18,764.16 = 18,764.16/x
  3. Step 3: Cross multiply
    8,613x = 18,764.16 × 18,764.16
  4. Step 4: Simplify right side
    8,613x = 352,093,559.77
  5. Step 5: Solve for x
    x = 352,093,559.77/8,613
  6. Step 6: Final answer
    x = 40,879.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.