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Finding the Third Proportional to 45.40 and 98.09

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Solution

The third proportional to 45.40 and 98.09 is: 211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.40 : 98.09 = 98.09 : x
  2. Step 2: Convert to fraction form
    45.40/98.09 = 98.09/x
  3. Step 3: Cross multiply
    45.40x = 98.09 × 98.09
  4. Step 4: Simplify right side
    45.40x = 9,620.85
  5. Step 5: Solve for x
    x = 9,620.85/45.40
  6. Step 6: Final answer
    x = 211.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.