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Finding the Third Proportional to 4.77 and 9.79

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Solution

The third proportional to 4.77 and 9.79 is: 20.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.77 : 9.79 = 9.79 : x
  2. Step 2: Convert to fraction form
    4.77/9.79 = 9.79/x
  3. Step 3: Cross multiply
    4.77x = 9.79 × 9.79
  4. Step 4: Simplify right side
    4.77x = 95.86
  5. Step 5: Solve for x
    x = 95.86/4.77
  6. Step 6: Final answer
    x = 20.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.