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Finding the Third Proportional to 3,219.50 and 6,784.75

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Solution

The third proportional to 3,219.50 and 6,784.75 is: 14,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.50 : 6,784.75 = 6,784.75 : x
  2. Step 2: Convert to fraction form
    3,219.50/6,784.75 = 6,784.75/x
  3. Step 3: Cross multiply
    3,219.50x = 6,784.75 × 6,784.75
  4. Step 4: Simplify right side
    3,219.50x = 46,032,832.56
  5. Step 5: Solve for x
    x = 46,032,832.56/3,219.50
  6. Step 6: Final answer
    x = 14,298.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.