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Finding the Third Proportional to 16.45 and 25.55

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Solution

The third proportional to 16.45 and 25.55 is: 39.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.45 : 25.55 = 25.55 : x
  2. Step 2: Convert to fraction form
    16.45/25.55 = 25.55/x
  3. Step 3: Cross multiply
    16.45x = 25.55 × 25.55
  4. Step 4: Simplify right side
    16.45x = 652.64
  5. Step 5: Solve for x
    x = 652.64/16.45
  6. Step 6: Final answer
    x = 39.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.