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Finding the Third Proportional to 272.88 and 605.38

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Solution

The third proportional to 272.88 and 605.38 is: 1,343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.88 : 605.38 = 605.38 : x
  2. Step 2: Convert to fraction form
    272.88/605.38 = 605.38/x
  3. Step 3: Cross multiply
    272.88x = 605.38 × 605.38
  4. Step 4: Simplify right side
    272.88x = 366,478.89
  5. Step 5: Solve for x
    x = 366,478.89/272.88
  6. Step 6: Final answer
    x = 1,343.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.