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Finding the Third Proportional to 1.78 and 2.17

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Solution

The third proportional to 1.78 and 2.17 is: 2.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.78 : 2.17 = 2.17 : x
  2. Step 2: Convert to fraction form
    1.78/2.17 = 2.17/x
  3. Step 3: Cross multiply
    1.78x = 2.17 × 2.17
  4. Step 4: Simplify right side
    1.78x = 4.70
  5. Step 5: Solve for x
    x = 4.70/1.78
  6. Step 6: Final answer
    x = 2.64

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.