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Finding the Third Proportional to 72.94 and 170.81

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Solution

The third proportional to 72.94 and 170.81 is: 400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.94 : 170.81 = 170.81 : x
  2. Step 2: Convert to fraction form
    72.94/170.81 = 170.81/x
  3. Step 3: Cross multiply
    72.94x = 170.81 × 170.81
  4. Step 4: Simplify right side
    72.94x = 29,176.91
  5. Step 5: Solve for x
    x = 29,176.91/72.94
  6. Step 6: Final answer
    x = 400.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.