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Finding the Third Proportional to 413.94 and 631.84

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Solution

The third proportional to 413.94 and 631.84 is: 964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.94 : 631.84 = 631.84 : x
  2. Step 2: Convert to fraction form
    413.94/631.84 = 631.84/x
  3. Step 3: Cross multiply
    413.94x = 631.84 × 631.84
  4. Step 4: Simplify right side
    413.94x = 399,226.52
  5. Step 5: Solve for x
    x = 399,226.52/413.94
  6. Step 6: Final answer
    x = 964.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.