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Finding the Third Proportional to 423.56 and 635.77

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Solution

The third proportional to 423.56 and 635.77 is: 954.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.56 : 635.77 = 635.77 : x
  2. Step 2: Convert to fraction form
    423.56/635.77 = 635.77/x
  3. Step 3: Cross multiply
    423.56x = 635.77 × 635.77
  4. Step 4: Simplify right side
    423.56x = 404,197.93
  5. Step 5: Solve for x
    x = 404,197.93/423.56
  6. Step 6: Final answer
    x = 954.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.