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Finding the Third Proportional to 78.63 and 169.19

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Solution

The third proportional to 78.63 and 169.19 is: 364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.63 : 169.19 = 169.19 : x
  2. Step 2: Convert to fraction form
    78.63/169.19 = 169.19/x
  3. Step 3: Cross multiply
    78.63x = 169.19 × 169.19
  4. Step 4: Simplify right side
    78.63x = 28,624.41
  5. Step 5: Solve for x
    x = 28,624.41/78.63
  6. Step 6: Final answer
    x = 364.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.