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Finding the Third Proportional to 1,838.25 and 2,721.38

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Solution

The third proportional to 1,838.25 and 2,721.38 is: 4,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.25 : 2,721.38 = 2,721.38 : x
  2. Step 2: Convert to fraction form
    1,838.25/2,721.38 = 2,721.38/x
  3. Step 3: Cross multiply
    1,838.25x = 2,721.38 × 2,721.38
  4. Step 4: Simplify right side
    1,838.25x = 7,405,881.89
  5. Step 5: Solve for x
    x = 7,405,881.89/1,838.25
  6. Step 6: Final answer
    x = 4,028.77

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.