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Finding the Third Proportional to 98.44 and 172.69

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Solution

The third proportional to 98.44 and 172.69 is: 302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.44 : 172.69 = 172.69 : x
  2. Step 2: Convert to fraction form
    98.44/172.69 = 172.69/x
  3. Step 3: Cross multiply
    98.44x = 172.69 × 172.69
  4. Step 4: Simplify right side
    98.44x = 29,820.97
  5. Step 5: Solve for x
    x = 29,820.97/98.44
  6. Step 6: Final answer
    x = 302.94

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.