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Finding the Third Proportional to 325.88 and 678.63

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Solution

The third proportional to 325.88 and 678.63 is: 1,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.88 : 678.63 = 678.63 : x
  2. Step 2: Convert to fraction form
    325.88/678.63 = 678.63/x
  3. Step 3: Cross multiply
    325.88x = 678.63 × 678.63
  4. Step 4: Simplify right side
    325.88x = 460,531.89
  5. Step 5: Solve for x
    x = 460,531.89/325.88
  6. Step 6: Final answer
    x = 1,413.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.