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Finding the Third Proportional to 46.62 and 101.88

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Solution

The third proportional to 46.62 and 101.88 is: 222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.62 : 101.88 = 101.88 : x
  2. Step 2: Convert to fraction form
    46.62/101.88 = 101.88/x
  3. Step 3: Cross multiply
    46.62x = 101.88 × 101.88
  4. Step 4: Simplify right side
    46.62x = 10,380.11
  5. Step 5: Solve for x
    x = 10,380.11/46.62
  6. Step 6: Final answer
    x = 222.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.