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Finding the Third Proportional to 2.19 and 5.69

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Solution

The third proportional to 2.19 and 5.69 is: 14.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.19 : 5.69 = 5.69 : x
  2. Step 2: Convert to fraction form
    2.19/5.69 = 5.69/x
  3. Step 3: Cross multiply
    2.19x = 5.69 × 5.69
  4. Step 4: Simplify right side
    2.19x = 32.40
  5. Step 5: Solve for x
    x = 32.40/2.19
  6. Step 6: Final answer
    x = 14.76

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.