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Finding the Third Proportional to 2.58 and 3.64

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Solution

The third proportional to 2.58 and 3.64 is: 5.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.58 : 3.64 = 3.64 : x
  2. Step 2: Convert to fraction form
    2.58/3.64 = 3.64/x
  3. Step 3: Cross multiply
    2.58x = 3.64 × 3.64
  4. Step 4: Simplify right side
    2.58x = 13.24
  5. Step 5: Solve for x
    x = 13.24/2.58
  6. Step 6: Final answer
    x = 5.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.