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Finding the Third Proportional to 2.65 and 5.78

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Solution

The third proportional to 2.65 and 5.78 is: 12.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.65 : 5.78 = 5.78 : x
  2. Step 2: Convert to fraction form
    2.65/5.78 = 5.78/x
  3. Step 3: Cross multiply
    2.65x = 5.78 × 5.78
  4. Step 4: Simplify right side
    2.65x = 33.45
  5. Step 5: Solve for x
    x = 33.45/2.65
  6. Step 6: Final answer
    x = 12.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.