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Finding the Third Proportional to 697.36 and 1,542.80

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Solution

The third proportional to 697.36 and 1,542.80 is: 3,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.36 : 1,542.80 = 1,542.80 : x
  2. Step 2: Convert to fraction form
    697.36/1,542.80 = 1,542.80/x
  3. Step 3: Cross multiply
    697.36x = 1,542.80 × 1,542.80
  4. Step 4: Simplify right side
    697.36x = 2,380,222.20
  5. Step 5: Solve for x
    x = 2,380,222.20/697.36
  6. Step 6: Final answer
    x = 3,413.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.