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Finding the Third Proportional to 5.36 and 5.77

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Solution

The third proportional to 5.36 and 5.77 is: 6.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.36 : 5.77 = 5.77 : x
  2. Step 2: Convert to fraction form
    5.36/5.77 = 5.77/x
  3. Step 3: Cross multiply
    5.36x = 5.77 × 5.77
  4. Step 4: Simplify right side
    5.36x = 33.32
  5. Step 5: Solve for x
    x = 33.32/5.36
  6. Step 6: Final answer
    x = 6.22

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.