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Finding the Third Proportional to 576.75 and 1,228.75

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Solution

The third proportional to 576.75 and 1,228.75 is: 2,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.75 : 1,228.75 = 1,228.75 : x
  2. Step 2: Convert to fraction form
    576.75/1,228.75 = 1,228.75/x
  3. Step 3: Cross multiply
    576.75x = 1,228.75 × 1,228.75
  4. Step 4: Simplify right side
    576.75x = 1,509,826.56
  5. Step 5: Solve for x
    x = 1,509,826.56/576.75
  6. Step 6: Final answer
    x = 2,617.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.