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Finding the Third Proportional to 43.80 and 90.49

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Solution

The third proportional to 43.80 and 90.49 is: 186.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.80 : 90.49 = 90.49 : x
  2. Step 2: Convert to fraction form
    43.80/90.49 = 90.49/x
  3. Step 3: Cross multiply
    43.80x = 90.49 × 90.49
  4. Step 4: Simplify right side
    43.80x = 8,188.84
  5. Step 5: Solve for x
    x = 8,188.84/43.80
  6. Step 6: Final answer
    x = 186.94

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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.