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Finding the Third Proportional to 421 and 894

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Solution

The third proportional to 421 and 894 is: 1,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421 : 894 = 894 : x
  2. Step 2: Convert to fraction form
    421/894 = 894/x
  3. Step 3: Cross multiply
    421x = 894 × 894
  4. Step 4: Simplify right side
    421x = 799,236
  5. Step 5: Solve for x
    x = 799,236/421
  6. Step 6: Final answer
    x = 1,898.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.