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Finding the Third Proportional to 1.22 and 1.78

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Solution

The third proportional to 1.22 and 1.78 is: 2.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.22 : 1.78 = 1.78 : x
  2. Step 2: Convert to fraction form
    1.22/1.78 = 1.78/x
  3. Step 3: Cross multiply
    1.22x = 1.78 × 1.78
  4. Step 4: Simplify right side
    1.22x = 3.17
  5. Step 5: Solve for x
    x = 3.17/1.22
  6. Step 6: Final answer
    x = 2.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.