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Finding the Third Proportional to 1,289.25 and 3,035.81

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Solution

The third proportional to 1,289.25 and 3,035.81 is: 7,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.25 : 3,035.81 = 3,035.81 : x
  2. Step 2: Convert to fraction form
    1,289.25/3,035.81 = 3,035.81/x
  3. Step 3: Cross multiply
    1,289.25x = 3,035.81 × 3,035.81
  4. Step 4: Simplify right side
    1,289.25x = 9,216,157.54
  5. Step 5: Solve for x
    x = 9,216,157.54/1,289.25
  6. Step 6: Final answer
    x = 7,148.46

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.