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Finding the Third Proportional to 4.66 and 9.78

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Solution

The third proportional to 4.66 and 9.78 is: 20.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.66 : 9.78 = 9.78 : x
  2. Step 2: Convert to fraction form
    4.66/9.78 = 9.78/x
  3. Step 3: Cross multiply
    4.66x = 9.78 × 9.78
  4. Step 4: Simplify right side
    4.66x = 95.68
  5. Step 5: Solve for x
    x = 95.68/4.66
  6. Step 6: Final answer
    x = 20.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.