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Finding the Third Proportional to 275.06 and 605.39

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Solution

The third proportional to 275.06 and 605.39 is: 1,332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.06 : 605.39 = 605.39 : x
  2. Step 2: Convert to fraction form
    275.06/605.39 = 605.39/x
  3. Step 3: Cross multiply
    275.06x = 605.39 × 605.39
  4. Step 4: Simplify right side
    275.06x = 366,497.81
  5. Step 5: Solve for x
    x = 366,497.81/275.06
  6. Step 6: Final answer
    x = 1,332.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.