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Finding the Third Proportional to 6,311.25 and 13,847.63

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Solution

The third proportional to 6,311.25 and 13,847.63 is: 30,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.25 : 13,847.63 = 13,847.63 : x
  2. Step 2: Convert to fraction form
    6,311.25/13,847.63 = 13,847.63/x
  3. Step 3: Cross multiply
    6,311.25x = 13,847.63 × 13,847.63
  4. Step 4: Simplify right side
    6,311.25x = 191,756,718.14
  5. Step 5: Solve for x
    x = 191,756,718.14/6,311.25
  6. Step 6: Final answer
    x = 30,383.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.