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Finding the Third Proportional to 8,455.50 and 12,651.75

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Solution

The third proportional to 8,455.50 and 12,651.75 is: 18,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.50 : 12,651.75 = 12,651.75 : x
  2. Step 2: Convert to fraction form
    8,455.50/12,651.75 = 12,651.75/x
  3. Step 3: Cross multiply
    8,455.50x = 12,651.75 × 12,651.75
  4. Step 4: Simplify right side
    8,455.50x = 160,066,778.06
  5. Step 5: Solve for x
    x = 160,066,778.06/8,455.50
  6. Step 6: Final answer
    x = 18,930.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.