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Finding the Third Proportional to 2.19 and 3.57

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Solution

The third proportional to 2.19 and 3.57 is: 5.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.19 : 3.57 = 3.57 : x
  2. Step 2: Convert to fraction form
    2.19/3.57 = 3.57/x
  3. Step 3: Cross multiply
    2.19x = 3.57 × 3.57
  4. Step 4: Simplify right side
    2.19x = 12.72
  5. Step 5: Solve for x
    x = 12.72/2.19
  6. Step 6: Final answer
    x = 5.79

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.