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Finding the Third Proportional to 385.25 and 495.88

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Solution

The third proportional to 385.25 and 495.88 is: 638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.25 : 495.88 = 495.88 : x
  2. Step 2: Convert to fraction form
    385.25/495.88 = 495.88/x
  3. Step 3: Cross multiply
    385.25x = 495.88 × 495.88
  4. Step 4: Simplify right side
    385.25x = 245,892.02
  5. Step 5: Solve for x
    x = 245,892.02/385.25
  6. Step 6: Final answer
    x = 638.27

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.