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Finding the Third Proportional to 1,120.75 and 1,228.75

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Solution

The third proportional to 1,120.75 and 1,228.75 is: 1,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.75 : 1,228.75 = 1,228.75 : x
  2. Step 2: Convert to fraction form
    1,120.75/1,228.75 = 1,228.75/x
  3. Step 3: Cross multiply
    1,120.75x = 1,228.75 × 1,228.75
  4. Step 4: Simplify right side
    1,120.75x = 1,509,826.56
  5. Step 5: Solve for x
    x = 1,509,826.56/1,120.75
  6. Step 6: Final answer
    x = 1,347.16

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.