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Finding the Third Proportional to 7,640.26 and 18,515.46

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Solution

The third proportional to 7,640.26 and 18,515.46 is: 44,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.26 : 18,515.46 = 18,515.46 : x
  2. Step 2: Convert to fraction form
    7,640.26/18,515.46 = 18,515.46/x
  3. Step 3: Cross multiply
    7,640.26x = 18,515.46 × 18,515.46
  4. Step 4: Simplify right side
    7,640.26x = 342,822,293.73
  5. Step 5: Solve for x
    x = 342,822,293.73/7,640.26
  6. Step 6: Final answer
    x = 44,870.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.