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Finding the Third Proportional to 1,828.20 and 3,878.51

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Solution

The third proportional to 1,828.20 and 3,878.51 is: 8,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.20 : 3,878.51 = 3,878.51 : x
  2. Step 2: Convert to fraction form
    1,828.20/3,878.51 = 3,878.51/x
  3. Step 3: Cross multiply
    1,828.20x = 3,878.51 × 3,878.51
  4. Step 4: Simplify right side
    1,828.20x = 15,042,822.85
  5. Step 5: Solve for x
    x = 15,042,822.85/1,828.20
  6. Step 6: Final answer
    x = 8,228.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.