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Finding the Third Proportional to 0.64 and 1.26

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Solution

The third proportional to 0.64 and 1.26 is: 2.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.64 : 1.26 = 1.26 : x
  2. Step 2: Convert to fraction form
    0.64/1.26 = 1.26/x
  3. Step 3: Cross multiply
    0.64x = 1.26 × 1.26
  4. Step 4: Simplify right side
    0.64x = 1.60
  5. Step 5: Solve for x
    x = 1.60/0.64
  6. Step 6: Final answer
    x = 2.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.