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Finding the Third Proportional to 43.98 and 91.05

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Solution

The third proportional to 43.98 and 91.05 is: 188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.98 : 91.05 = 91.05 : x
  2. Step 2: Convert to fraction form
    43.98/91.05 = 91.05/x
  3. Step 3: Cross multiply
    43.98x = 91.05 × 91.05
  4. Step 4: Simplify right side
    43.98x = 8,289.36
  5. Step 5: Solve for x
    x = 8,289.36/43.98
  6. Step 6: Final answer
    x = 188.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.