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Finding the Third Proportional to 551.25 and 697.69

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Solution

The third proportional to 551.25 and 697.69 is: 883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.25 : 697.69 = 697.69 : x
  2. Step 2: Convert to fraction form
    551.25/697.69 = 697.69/x
  3. Step 3: Cross multiply
    551.25x = 697.69 × 697.69
  4. Step 4: Simplify right side
    551.25x = 486,767.85
  5. Step 5: Solve for x
    x = 486,767.85/551.25
  6. Step 6: Final answer
    x = 883.03

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.