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Finding the Third Proportional to 8,451 and 19,563.61

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Solution

The third proportional to 8,451 and 19,563.61 is: 45,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451 : 19,563.61 = 19,563.61 : x
  2. Step 2: Convert to fraction form
    8,451/19,563.61 = 19,563.61/x
  3. Step 3: Cross multiply
    8,451x = 19,563.61 × 19,563.61
  4. Step 4: Simplify right side
    8,451x = 382,734,811.78
  5. Step 5: Solve for x
    x = 382,734,811.78/8,451
  6. Step 6: Final answer
    x = 45,288.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.