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Finding the Third Proportional to 416.53 and 633.80

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Solution

The third proportional to 416.53 and 633.80 is: 964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.53 : 633.80 = 633.80 : x
  2. Step 2: Convert to fraction form
    416.53/633.80 = 633.80/x
  3. Step 3: Cross multiply
    416.53x = 633.80 × 633.80
  4. Step 4: Simplify right side
    416.53x = 401,698.48
  5. Step 5: Solve for x
    x = 401,698.48/416.53
  6. Step 6: Final answer
    x = 964.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.