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Finding the Third Proportional to 1,378.94 and 3,005.75

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Solution

The third proportional to 1,378.94 and 3,005.75 is: 6,551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.94 : 3,005.75 = 3,005.75 : x
  2. Step 2: Convert to fraction form
    1,378.94/3,005.75 = 3,005.75/x
  3. Step 3: Cross multiply
    1,378.94x = 3,005.75 × 3,005.75
  4. Step 4: Simplify right side
    1,378.94x = 9,034,533.06
  5. Step 5: Solve for x
    x = 9,034,533.06/1,378.94
  6. Step 6: Final answer
    x = 6,551.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.