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Finding the Third Proportional to 67.71 and 162.21

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Solution

The third proportional to 67.71 and 162.21 is: 388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.71 : 162.21 = 162.21 : x
  2. Step 2: Convert to fraction form
    67.71/162.21 = 162.21/x
  3. Step 3: Cross multiply
    67.71x = 162.21 × 162.21
  4. Step 4: Simplify right side
    67.71x = 26,312.39
  5. Step 5: Solve for x
    x = 26,312.39/67.71
  6. Step 6: Final answer
    x = 388.60

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.