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Finding the Third Proportional to 434 and 890

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Solution

The third proportional to 434 and 890 is: 1,825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    434 : 890 = 890 : x
  2. Step 2: Convert to fraction form
    434/890 = 890/x
  3. Step 3: Cross multiply
    434x = 890 × 890
  4. Step 4: Simplify right side
    434x = 792,100
  5. Step 5: Solve for x
    x = 792,100/434
  6. Step 6: Final answer
    x = 1,825.12

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.