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Finding the Third Proportional to 21.53 and 30.69

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Solution

The third proportional to 21.53 and 30.69 is: 43.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.53 : 30.69 = 30.69 : x
  2. Step 2: Convert to fraction form
    21.53/30.69 = 30.69/x
  3. Step 3: Cross multiply
    21.53x = 30.69 × 30.69
  4. Step 4: Simplify right side
    21.53x = 941.72
  5. Step 5: Solve for x
    x = 941.72/21.53
  6. Step 6: Final answer
    x = 43.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.