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Finding the Third Proportional to 1.64 and 3.86

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Solution

The third proportional to 1.64 and 3.86 is: 9.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.64 : 3.86 = 3.86 : x
  2. Step 2: Convert to fraction form
    1.64/3.86 = 3.86/x
  3. Step 3: Cross multiply
    1.64x = 3.86 × 3.86
  4. Step 4: Simplify right side
    1.64x = 14.87
  5. Step 5: Solve for x
    x = 14.87/1.64
  6. Step 6: Final answer
    x = 9.05

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.