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Finding the Third Proportional to 8,455.50 and 20,279.25

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Solution

The third proportional to 8,455.50 and 20,279.25 is: 48,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.50 : 20,279.25 = 20,279.25 : x
  2. Step 2: Convert to fraction form
    8,455.50/20,279.25 = 20,279.25/x
  3. Step 3: Cross multiply
    8,455.50x = 20,279.25 × 20,279.25
  4. Step 4: Simplify right side
    8,455.50x = 411,247,980.56
  5. Step 5: Solve for x
    x = 411,247,980.56/8,455.50
  6. Step 6: Final answer
    x = 48,636.74

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.