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Finding the Third Proportional to 8,431.91 and 18,516.88

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Solution

The third proportional to 8,431.91 and 18,516.88 is: 40,663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.91 : 18,516.88 = 18,516.88 : x
  2. Step 2: Convert to fraction form
    8,431.91/18,516.88 = 18,516.88/x
  3. Step 3: Cross multiply
    8,431.91x = 18,516.88 × 18,516.88
  4. Step 4: Simplify right side
    8,431.91x = 342,875,021.42
  5. Step 5: Solve for x
    x = 342,875,021.42/8,431.91
  6. Step 6: Final answer
    x = 40,663.98

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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.