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Finding the Third Proportional to 5.78 and 9.83

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Solution

The third proportional to 5.78 and 9.83 is: 16.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.78 : 9.83 = 9.83 : x
  2. Step 2: Convert to fraction form
    5.78/9.83 = 9.83/x
  3. Step 3: Cross multiply
    5.78x = 9.83 × 9.83
  4. Step 4: Simplify right side
    5.78x = 96.53
  5. Step 5: Solve for x
    x = 96.53/5.78
  6. Step 6: Final answer
    x = 16.70

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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.