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Finding the Third Proportional to 434.75 and 905.44

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Solution

The third proportional to 434.75 and 905.44 is: 1,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.75 : 905.44 = 905.44 : x
  2. Step 2: Convert to fraction form
    434.75/905.44 = 905.44/x
  3. Step 3: Cross multiply
    434.75x = 905.44 × 905.44
  4. Step 4: Simplify right side
    434.75x = 819,817.07
  5. Step 5: Solve for x
    x = 819,817.07/434.75
  6. Step 6: Final answer
    x = 1,885.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.