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Finding the Third Proportional to 205.75 and 294

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Solution

The third proportional to 205.75 and 294 is: 420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.75 : 294 = 294 : x
  2. Step 2: Convert to fraction form
    205.75/294 = 294/x
  3. Step 3: Cross multiply
    205.75x = 294 × 294
  4. Step 4: Simplify right side
    205.75x = 86,436
  5. Step 5: Solve for x
    x = 86,436/205.75
  6. Step 6: Final answer
    x = 420.10

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.