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Finding the Third Proportional to 120.19 and 256.22

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Solution

The third proportional to 120.19 and 256.22 is: 546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.19 : 256.22 = 256.22 : x
  2. Step 2: Convert to fraction form
    120.19/256.22 = 256.22/x
  3. Step 3: Cross multiply
    120.19x = 256.22 × 256.22
  4. Step 4: Simplify right side
    120.19x = 65,648.05
  5. Step 5: Solve for x
    x = 65,648.05/120.19
  6. Step 6: Final answer
    x = 546.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.