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Finding the Third Proportional to 44.19 and 92.88

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Solution

The third proportional to 44.19 and 92.88 is: 195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.19 : 92.88 = 92.88 : x
  2. Step 2: Convert to fraction form
    44.19/92.88 = 92.88/x
  3. Step 3: Cross multiply
    44.19x = 92.88 × 92.88
  4. Step 4: Simplify right side
    44.19x = 8,625.77
  5. Step 5: Solve for x
    x = 8,625.77/44.19
  6. Step 6: Final answer
    x = 195.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.