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Finding the Third Proportional to 3,981.94 and 5,570.72

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Solution

The third proportional to 3,981.94 and 5,570.72 is: 7,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.94 : 5,570.72 = 5,570.72 : x
  2. Step 2: Convert to fraction form
    3,981.94/5,570.72 = 5,570.72/x
  3. Step 3: Cross multiply
    3,981.94x = 5,570.72 × 5,570.72
  4. Step 4: Simplify right side
    3,981.94x = 31,032,907.39
  5. Step 5: Solve for x
    x = 31,032,907.39/3,981.94
  6. Step 6: Final answer
    x = 7,793.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.