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Finding the Third Proportional to 21.12 and 26.98

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Solution

The third proportional to 21.12 and 26.98 is: 34.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.12 : 26.98 = 26.98 : x
  2. Step 2: Convert to fraction form
    21.12/26.98 = 26.98/x
  3. Step 3: Cross multiply
    21.12x = 26.98 × 26.98
  4. Step 4: Simplify right side
    21.12x = 728.16
  5. Step 5: Solve for x
    x = 728.16/21.12
  6. Step 6: Final answer
    x = 34.48

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.