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Finding the Third Proportional to 3,384.75 and 8,580.75

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Solution

The third proportional to 3,384.75 and 8,580.75 is: 21,753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.75 : 8,580.75 = 8,580.75 : x
  2. Step 2: Convert to fraction form
    3,384.75/8,580.75 = 8,580.75/x
  3. Step 3: Cross multiply
    3,384.75x = 8,580.75 × 8,580.75
  4. Step 4: Simplify right side
    3,384.75x = 73,629,270.56
  5. Step 5: Solve for x
    x = 73,629,270.56/3,384.75
  6. Step 6: Final answer
    x = 21,753.24

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Why These Related Problems?

These problems maintain the same ratio (2.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.