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Finding the Third Proportional to 172.88 and 266.69

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Solution

The third proportional to 172.88 and 266.69 is: 411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.88 : 266.69 = 266.69 : x
  2. Step 2: Convert to fraction form
    172.88/266.69 = 266.69/x
  3. Step 3: Cross multiply
    172.88x = 266.69 × 266.69
  4. Step 4: Simplify right side
    172.88x = 71,122.22
  5. Step 5: Solve for x
    x = 71,122.22/172.88
  6. Step 6: Final answer
    x = 411.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.