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Finding the Third Proportional to 67.81 and 143.63

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Solution

The third proportional to 67.81 and 143.63 is: 304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.81 : 143.63 = 143.63 : x
  2. Step 2: Convert to fraction form
    67.81/143.63 = 143.63/x
  3. Step 3: Cross multiply
    67.81x = 143.63 × 143.63
  4. Step 4: Simplify right side
    67.81x = 20,629.19
  5. Step 5: Solve for x
    x = 20,629.19/67.81
  6. Step 6: Final answer
    x = 304.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.