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Finding the Third Proportional to 2.78 and 4.73

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Solution

The third proportional to 2.78 and 4.73 is: 8.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.78 : 4.73 = 4.73 : x
  2. Step 2: Convert to fraction form
    2.78/4.73 = 4.73/x
  3. Step 3: Cross multiply
    2.78x = 4.73 × 4.73
  4. Step 4: Simplify right side
    2.78x = 22.34
  5. Step 5: Solve for x
    x = 22.34/2.78
  6. Step 6: Final answer
    x = 8.04

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.