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Finding the Third Proportional to 274.94 and 569.38

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Solution

The third proportional to 274.94 and 569.38 is: 1,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.94 : 569.38 = 569.38 : x
  2. Step 2: Convert to fraction form
    274.94/569.38 = 569.38/x
  3. Step 3: Cross multiply
    274.94x = 569.38 × 569.38
  4. Step 4: Simplify right side
    274.94x = 324,187.89
  5. Step 5: Solve for x
    x = 324,187.89/274.94
  6. Step 6: Final answer
    x = 1,179.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.