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Finding the Third Proportional to 4,023.75 and 8,415.19

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Solution

The third proportional to 4,023.75 and 8,415.19 is: 17,599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023.75 : 8,415.19 = 8,415.19 : x
  2. Step 2: Convert to fraction form
    4,023.75/8,415.19 = 8,415.19/x
  3. Step 3: Cross multiply
    4,023.75x = 8,415.19 × 8,415.19
  4. Step 4: Simplify right side
    4,023.75x = 70,815,380.66
  5. Step 5: Solve for x
    x = 70,815,380.66/4,023.75
  6. Step 6: Final answer
    x = 17,599.35

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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.