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Finding the Third Proportional to 4.78 and 9.95

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Solution

The third proportional to 4.78 and 9.95 is: 20.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.78 : 9.95 = 9.95 : x
  2. Step 2: Convert to fraction form
    4.78/9.95 = 9.95/x
  3. Step 3: Cross multiply
    4.78x = 9.95 × 9.95
  4. Step 4: Simplify right side
    4.78x = 98.99
  5. Step 5: Solve for x
    x = 98.99/4.78
  6. Step 6: Final answer
    x = 20.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.