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Finding the Third Proportional to 120.23 and 225.84

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Solution

The third proportional to 120.23 and 225.84 is: 424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.23 : 225.84 = 225.84 : x
  2. Step 2: Convert to fraction form
    120.23/225.84 = 225.84/x
  3. Step 3: Cross multiply
    120.23x = 225.84 × 225.84
  4. Step 4: Simplify right side
    120.23x = 51,005.40
  5. Step 5: Solve for x
    x = 51,005.40/120.23
  6. Step 6: Final answer
    x = 424.22

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.