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Finding the Third Proportional to 9,506.50 and 20,345

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Solution

The third proportional to 9,506.50 and 20,345 is: 43,540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.50 : 20,345 = 20,345 : x
  2. Step 2: Convert to fraction form
    9,506.50/20,345 = 20,345/x
  3. Step 3: Cross multiply
    9,506.50x = 20,345 × 20,345
  4. Step 4: Simplify right side
    9,506.50x = 413,919,025
  5. Step 5: Solve for x
    x = 413,919,025/9,506.50
  6. Step 6: Final answer
    x = 43,540.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.