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Finding the Third Proportional to 14.78 and 21.64

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Solution

The third proportional to 14.78 and 21.64 is: 31.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.78 : 21.64 = 21.64 : x
  2. Step 2: Convert to fraction form
    14.78/21.64 = 21.64/x
  3. Step 3: Cross multiply
    14.78x = 21.64 × 21.64
  4. Step 4: Simplify right side
    14.78x = 468.37
  5. Step 5: Solve for x
    x = 468.37/14.78
  6. Step 6: Final answer
    x = 31.69

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.