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Finding the Third Proportional to 69.19 and 143.44

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Solution

The third proportional to 69.19 and 143.44 is: 297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.19 : 143.44 = 143.44 : x
  2. Step 2: Convert to fraction form
    69.19/143.44 = 143.44/x
  3. Step 3: Cross multiply
    69.19x = 143.44 × 143.44
  4. Step 4: Simplify right side
    69.19x = 20,574.32
  5. Step 5: Solve for x
    x = 20,574.32/69.19
  6. Step 6: Final answer
    x = 297.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.