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Finding the Third Proportional to 5.77 and 10.28

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Solution

The third proportional to 5.77 and 10.28 is: 18.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.77 : 10.28 = 10.28 : x
  2. Step 2: Convert to fraction form
    5.77/10.28 = 10.28/x
  3. Step 3: Cross multiply
    5.77x = 10.28 × 10.28
  4. Step 4: Simplify right side
    5.77x = 105.74
  5. Step 5: Solve for x
    x = 105.74/5.77
  6. Step 6: Final answer
    x = 18.32

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.