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Finding the Third Proportional to 20,403 and 43,219

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Solution

The third proportional to 20,403 and 43,219 is: 91,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,403 : 43,219 = 43,219 : x
  2. Step 2: Convert to fraction form
    20,403/43,219 = 43,219/x
  3. Step 3: Cross multiply
    20,403x = 43,219 × 43,219
  4. Step 4: Simplify right side
    20,403x = 1,867,881,961
  5. Step 5: Solve for x
    x = 1,867,881,961/20,403
  6. Step 6: Final answer
    x = 91,549.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.