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Finding the Third Proportional to 45.21 and 121.57

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Solution

The third proportional to 45.21 and 121.57 is: 326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.21 : 121.57 = 121.57 : x
  2. Step 2: Convert to fraction form
    45.21/121.57 = 121.57/x
  3. Step 3: Cross multiply
    45.21x = 121.57 × 121.57
  4. Step 4: Simplify right side
    45.21x = 14,779.34
  5. Step 5: Solve for x
    x = 14,779.34/45.21
  6. Step 6: Final answer
    x = 326.90

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.