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Finding the Third Proportional to 13,983 and 20,577

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Solution

The third proportional to 13,983 and 20,577 is: 30,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983 : 20,577 = 20,577 : x
  2. Step 2: Convert to fraction form
    13,983/20,577 = 20,577/x
  3. Step 3: Cross multiply
    13,983x = 20,577 × 20,577
  4. Step 4: Simplify right side
    13,983x = 423,412,929
  5. Step 5: Solve for x
    x = 423,412,929/13,983
  6. Step 6: Final answer
    x = 30,280.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.