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Finding the Third Proportional to 2,232.13 and 3,368.44

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Solution

The third proportional to 2,232.13 and 3,368.44 is: 5,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.13 : 3,368.44 = 3,368.44 : x
  2. Step 2: Convert to fraction form
    2,232.13/3,368.44 = 3,368.44/x
  3. Step 3: Cross multiply
    2,232.13x = 3,368.44 × 3,368.44
  4. Step 4: Simplify right side
    2,232.13x = 11,346,371.19
  5. Step 5: Solve for x
    x = 11,346,371.19/2,232.13
  6. Step 6: Final answer
    x = 5,083.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.