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Finding the Third Proportional to 3,580 and 5,533

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Solution

The third proportional to 3,580 and 5,533 is: 8,551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580 : 5,533 = 5,533 : x
  2. Step 2: Convert to fraction form
    3,580/5,533 = 5,533/x
  3. Step 3: Cross multiply
    3,580x = 5,533 × 5,533
  4. Step 4: Simplify right side
    3,580x = 30,614,089
  5. Step 5: Solve for x
    x = 30,614,089/3,580
  6. Step 6: Final answer
    x = 8,551.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.