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Finding the Third Proportional to 77.63 and 168.19

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Solution

The third proportional to 77.63 and 168.19 is: 364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.63 : 168.19 = 168.19 : x
  2. Step 2: Convert to fraction form
    77.63/168.19 = 168.19/x
  3. Step 3: Cross multiply
    77.63x = 168.19 × 168.19
  4. Step 4: Simplify right side
    77.63x = 28,287.04
  5. Step 5: Solve for x
    x = 28,287.04/77.63
  6. Step 6: Final answer
    x = 364.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.