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Finding the Third Proportional to 1,933.50 and 3,015.84

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Solution

The third proportional to 1,933.50 and 3,015.84 is: 4,704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.50 : 3,015.84 = 3,015.84 : x
  2. Step 2: Convert to fraction form
    1,933.50/3,015.84 = 3,015.84/x
  3. Step 3: Cross multiply
    1,933.50x = 3,015.84 × 3,015.84
  4. Step 4: Simplify right side
    1,933.50x = 9,095,313.52
  5. Step 5: Solve for x
    x = 9,095,313.52/1,933.50
  6. Step 6: Final answer
    x = 4,704.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.