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Finding the Third Proportional to 427.78 and 834.05

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Solution

The third proportional to 427.78 and 834.05 is: 1,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.78 : 834.05 = 834.05 : x
  2. Step 2: Convert to fraction form
    427.78/834.05 = 834.05/x
  3. Step 3: Cross multiply
    427.78x = 834.05 × 834.05
  4. Step 4: Simplify right side
    427.78x = 695,634.19
  5. Step 5: Solve for x
    x = 695,634.19/427.78
  6. Step 6: Final answer
    x = 1,626.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.