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Finding the Third Proportional to 8,613.72 and 18,971.80

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Solution

The third proportional to 8,613.72 and 18,971.80 is: 41,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.72 : 18,971.80 = 18,971.80 : x
  2. Step 2: Convert to fraction form
    8,613.72/18,971.80 = 18,971.80/x
  3. Step 3: Cross multiply
    8,613.72x = 18,971.80 × 18,971.80
  4. Step 4: Simplify right side
    8,613.72x = 359,929,113.72
  5. Step 5: Solve for x
    x = 359,929,113.72/8,613.72
  6. Step 6: Final answer
    x = 41,785.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.