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Finding the Third Proportional to 153.98 and 238.36

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Solution

The third proportional to 153.98 and 238.36 is: 368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.98 : 238.36 = 238.36 : x
  2. Step 2: Convert to fraction form
    153.98/238.36 = 238.36/x
  3. Step 3: Cross multiply
    153.98x = 238.36 × 238.36
  4. Step 4: Simplify right side
    153.98x = 56,815.19
  5. Step 5: Solve for x
    x = 56,815.19/153.98
  6. Step 6: Final answer
    x = 368.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.