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Finding the Third Proportional to 1,289.04 and 3,043.83

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Solution

The third proportional to 1,289.04 and 3,043.83 is: 7,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.04 : 3,043.83 = 3,043.83 : x
  2. Step 2: Convert to fraction form
    1,289.04/3,043.83 = 3,043.83/x
  3. Step 3: Cross multiply
    1,289.04x = 3,043.83 × 3,043.83
  4. Step 4: Simplify right side
    1,289.04x = 9,264,889.65
  5. Step 5: Solve for x
    x = 9,264,889.65/1,289.04
  6. Step 6: Final answer
    x = 7,187.44

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.