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Finding the Third Proportional to 5,503 and 12,983

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Solution

The third proportional to 5,503 and 12,983 is: 30,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503 : 12,983 = 12,983 : x
  2. Step 2: Convert to fraction form
    5,503/12,983 = 12,983/x
  3. Step 3: Cross multiply
    5,503x = 12,983 × 12,983
  4. Step 4: Simplify right side
    5,503x = 168,558,289
  5. Step 5: Solve for x
    x = 168,558,289/5,503
  6. Step 6: Final answer
    x = 30,630.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.