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Finding the Third Proportional to 1,409.06 and 3,078.84

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Solution

The third proportional to 1,409.06 and 3,078.84 is: 6,727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.06 : 3,078.84 = 3,078.84 : x
  2. Step 2: Convert to fraction form
    1,409.06/3,078.84 = 3,078.84/x
  3. Step 3: Cross multiply
    1,409.06x = 3,078.84 × 3,078.84
  4. Step 4: Simplify right side
    1,409.06x = 9,479,278.84
  5. Step 5: Solve for x
    x = 9,479,278.84/1,409.06
  6. Step 6: Final answer
    x = 6,727.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.