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Finding the Third Proportional to 2,121.19 and 3,291.47

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Solution

The third proportional to 2,121.19 and 3,291.47 is: 5,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.19 : 3,291.47 = 3,291.47 : x
  2. Step 2: Convert to fraction form
    2,121.19/3,291.47 = 3,291.47/x
  3. Step 3: Cross multiply
    2,121.19x = 3,291.47 × 3,291.47
  4. Step 4: Simplify right side
    2,121.19x = 10,833,766.53
  5. Step 5: Solve for x
    x = 10,833,766.53/2,121.19
  6. Step 6: Final answer
    x = 5,107.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.