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Finding the Third Proportional to 633.75 and 946.38

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Solution

The third proportional to 633.75 and 946.38 is: 1,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.75 : 946.38 = 946.38 : x
  2. Step 2: Convert to fraction form
    633.75/946.38 = 946.38/x
  3. Step 3: Cross multiply
    633.75x = 946.38 × 946.38
  4. Step 4: Simplify right side
    633.75x = 895,625.64
  5. Step 5: Solve for x
    x = 895,625.64/633.75
  6. Step 6: Final answer
    x = 1,413.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.