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Finding the Third Proportional to 1,396.62 and 2,223.07

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Solution

The third proportional to 1,396.62 and 2,223.07 is: 3,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.62 : 2,223.07 = 2,223.07 : x
  2. Step 2: Convert to fraction form
    1,396.62/2,223.07 = 2,223.07/x
  3. Step 3: Cross multiply
    1,396.62x = 2,223.07 × 2,223.07
  4. Step 4: Simplify right side
    1,396.62x = 4,942,041.61
  5. Step 5: Solve for x
    x = 4,942,041.61/1,396.62
  6. Step 6: Final answer
    x = 3,538.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.