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Finding the Third Proportional to 550.88 and 775.03

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Solution

The third proportional to 550.88 and 775.03 is: 1,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.88 : 775.03 = 775.03 : x
  2. Step 2: Convert to fraction form
    550.88/775.03 = 775.03/x
  3. Step 3: Cross multiply
    550.88x = 775.03 × 775.03
  4. Step 4: Simplify right side
    550.88x = 600,673.44
  5. Step 5: Solve for x
    x = 600,673.44/550.88
  6. Step 6: Final answer
    x = 1,090.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.