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Finding the Third Proportional to 10.22 and 14.72

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Solution

The third proportional to 10.22 and 14.72 is: 21.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.22 : 14.72 = 14.72 : x
  2. Step 2: Convert to fraction form
    10.22/14.72 = 14.72/x
  3. Step 3: Cross multiply
    10.22x = 14.72 × 14.72
  4. Step 4: Simplify right side
    10.22x = 216.64
  5. Step 5: Solve for x
    x = 216.64/10.22
  6. Step 6: Final answer
    x = 21.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.