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Finding the Third Proportional to 8,110.50 and 19,069.50

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Solution

The third proportional to 8,110.50 and 19,069.50 is: 44,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.50 : 19,069.50 = 19,069.50 : x
  2. Step 2: Convert to fraction form
    8,110.50/19,069.50 = 19,069.50/x
  3. Step 3: Cross multiply
    8,110.50x = 19,069.50 × 19,069.50
  4. Step 4: Simplify right side
    8,110.50x = 363,645,830.25
  5. Step 5: Solve for x
    x = 363,645,830.25/8,110.50
  6. Step 6: Final answer
    x = 44,836.43

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