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Finding the Third Proportional to 4,239.45 and 9,324.65

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Solution

The third proportional to 4,239.45 and 9,324.65 is: 20,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239.45 : 9,324.65 = 9,324.65 : x
  2. Step 2: Convert to fraction form
    4,239.45/9,324.65 = 9,324.65/x
  3. Step 3: Cross multiply
    4,239.45x = 9,324.65 × 9,324.65
  4. Step 4: Simplify right side
    4,239.45x = 86,949,104.91
  5. Step 5: Solve for x
    x = 86,949,104.91/4,239.45
  6. Step 6: Final answer
    x = 20,509.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.