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Finding the Third Proportional to 119.63 and 153.19

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Solution

The third proportional to 119.63 and 153.19 is: 196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.63 : 153.19 = 153.19 : x
  2. Step 2: Convert to fraction form
    119.63/153.19 = 153.19/x
  3. Step 3: Cross multiply
    119.63x = 153.19 × 153.19
  4. Step 4: Simplify right side
    119.63x = 23,466.41
  5. Step 5: Solve for x
    x = 23,466.41/119.63
  6. Step 6: Final answer
    x = 196.17

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.