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Finding the Third Proportional to 7,640.25 and 15,974.06

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Solution

The third proportional to 7,640.25 and 15,974.06 is: 33,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.25 : 15,974.06 = 15,974.06 : x
  2. Step 2: Convert to fraction form
    7,640.25/15,974.06 = 15,974.06/x
  3. Step 3: Cross multiply
    7,640.25x = 15,974.06 × 15,974.06
  4. Step 4: Simplify right side
    7,640.25x = 255,170,672.75
  5. Step 5: Solve for x
    x = 255,170,672.75/7,640.25
  6. Step 6: Final answer
    x = 33,398.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.