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Finding the Third Proportional to 43.65 and 90.91

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Solution

The third proportional to 43.65 and 90.91 is: 189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.65 : 90.91 = 90.91 : x
  2. Step 2: Convert to fraction form
    43.65/90.91 = 90.91/x
  3. Step 3: Cross multiply
    43.65x = 90.91 × 90.91
  4. Step 4: Simplify right side
    43.65x = 8,265.37
  5. Step 5: Solve for x
    x = 8,265.37/43.65
  6. Step 6: Final answer
    x = 189.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.