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Finding the Third Proportional to 6,378.75 and 13,516.31

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Solution

The third proportional to 6,378.75 and 13,516.31 is: 28,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.75 : 13,516.31 = 13,516.31 : x
  2. Step 2: Convert to fraction form
    6,378.75/13,516.31 = 13,516.31/x
  3. Step 3: Cross multiply
    6,378.75x = 13,516.31 × 13,516.31
  4. Step 4: Simplify right side
    6,378.75x = 182,690,703.60
  5. Step 5: Solve for x
    x = 182,690,703.60/6,378.75
  6. Step 6: Final answer
    x = 28,640.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.