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Finding the Third Proportional to 4,200.75 and 7,043.63

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Solution

The third proportional to 4,200.75 and 7,043.63 is: 11,810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.75 : 7,043.63 = 7,043.63 : x
  2. Step 2: Convert to fraction form
    4,200.75/7,043.63 = 7,043.63/x
  3. Step 3: Cross multiply
    4,200.75x = 7,043.63 × 7,043.63
  4. Step 4: Simplify right side
    4,200.75x = 49,612,653.14
  5. Step 5: Solve for x
    x = 49,612,653.14/4,200.75
  6. Step 6: Final answer
    x = 11,810.43

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.