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Finding the Third Proportional to 9,287.68 and 18,121.24

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Solution

The third proportional to 9,287.68 and 18,121.24 is: 35,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.68 : 18,121.24 = 18,121.24 : x
  2. Step 2: Convert to fraction form
    9,287.68/18,121.24 = 18,121.24/x
  3. Step 3: Cross multiply
    9,287.68x = 18,121.24 × 18,121.24
  4. Step 4: Simplify right side
    9,287.68x = 328,379,285.69
  5. Step 5: Solve for x
    x = 328,379,285.69/9,287.68
  6. Step 6: Final answer
    x = 35,356.46

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.