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Finding the Third Proportional to 8,190 and 19,245

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Solution

The third proportional to 8,190 and 19,245 is: 45,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190 : 19,245 = 19,245 : x
  2. Step 2: Convert to fraction form
    8,190/19,245 = 19,245/x
  3. Step 3: Cross multiply
    8,190x = 19,245 × 19,245
  4. Step 4: Simplify right side
    8,190x = 370,370,025
  5. Step 5: Solve for x
    x = 370,370,025/8,190
  6. Step 6: Final answer
    x = 45,222.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.