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Finding the Third Proportional to 78.94 and 172.64

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Solution

The third proportional to 78.94 and 172.64 is: 377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.94 : 172.64 = 172.64 : x
  2. Step 2: Convert to fraction form
    78.94/172.64 = 172.64/x
  3. Step 3: Cross multiply
    78.94x = 172.64 × 172.64
  4. Step 4: Simplify right side
    78.94x = 29,804.79
  5. Step 5: Solve for x
    x = 29,804.79/78.94
  6. Step 6: Final answer
    x = 377.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.