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Finding the Third Proportional to 86.56 and 190.28

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Solution

The third proportional to 86.56 and 190.28 is: 418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.56 : 190.28 = 190.28 : x
  2. Step 2: Convert to fraction form
    86.56/190.28 = 190.28/x
  3. Step 3: Cross multiply
    86.56x = 190.28 × 190.28
  4. Step 4: Simplify right side
    86.56x = 36,206.95
  5. Step 5: Solve for x
    x = 36,206.95/86.56
  6. Step 6: Final answer
    x = 418.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.