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Finding the Third Proportional to 4,243.75 and 9,137.69

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Solution

The third proportional to 4,243.75 and 9,137.69 is: 19,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.75 : 9,137.69 = 9,137.69 : x
  2. Step 2: Convert to fraction form
    4,243.75/9,137.69 = 9,137.69/x
  3. Step 3: Cross multiply
    4,243.75x = 9,137.69 × 9,137.69
  4. Step 4: Simplify right side
    4,243.75x = 83,497,332.85
  5. Step 5: Solve for x
    x = 83,497,332.85/4,243.75
  6. Step 6: Final answer
    x = 19,675.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.