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Finding the Third Proportional to 139.88 and 295.44

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Solution

The third proportional to 139.88 and 295.44 is: 624.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.88 : 295.44 = 295.44 : x
  2. Step 2: Convert to fraction form
    139.88/295.44 = 295.44/x
  3. Step 3: Cross multiply
    139.88x = 295.44 × 295.44
  4. Step 4: Simplify right side
    139.88x = 87,283.32
  5. Step 5: Solve for x
    x = 87,283.32/139.88
  6. Step 6: Final answer
    x = 624.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.