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Finding the Third Proportional to 427.57 and 617.84

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Solution

The third proportional to 427.57 and 617.84 is: 892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.57 : 617.84 = 617.84 : x
  2. Step 2: Convert to fraction form
    427.57/617.84 = 617.84/x
  3. Step 3: Cross multiply
    427.57x = 617.84 × 617.84
  4. Step 4: Simplify right side
    427.57x = 381,721.25
  5. Step 5: Solve for x
    x = 381,721.25/427.57
  6. Step 6: Final answer
    x = 892.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.