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Finding the Third Proportional to 7,121.04 and 13,285.27

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Solution

The third proportional to 7,121.04 and 13,285.27 is: 24,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.04 : 13,285.27 = 13,285.27 : x
  2. Step 2: Convert to fraction form
    7,121.04/13,285.27 = 13,285.27/x
  3. Step 3: Cross multiply
    7,121.04x = 13,285.27 × 13,285.27
  4. Step 4: Simplify right side
    7,121.04x = 176,498,282.73
  5. Step 5: Solve for x
    x = 176,498,282.73/7,121.04
  6. Step 6: Final answer
    x = 24,785.47

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.