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Finding the Third Proportional to 4,243.88 and 7,072.13

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Solution

The third proportional to 4,243.88 and 7,072.13 is: 11,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.88 : 7,072.13 = 7,072.13 : x
  2. Step 2: Convert to fraction form
    4,243.88/7,072.13 = 7,072.13/x
  3. Step 3: Cross multiply
    4,243.88x = 7,072.13 × 7,072.13
  4. Step 4: Simplify right side
    4,243.88x = 50,014,952.02
  5. Step 5: Solve for x
    x = 50,014,952.02/4,243.88
  6. Step 6: Final answer
    x = 11,785.21

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.