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Finding the Third Proportional to 21,027 and 45,990

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Solution

The third proportional to 21,027 and 45,990 is: 100,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,027 : 45,990 = 45,990 : x
  2. Step 2: Convert to fraction form
    21,027/45,990 = 45,990/x
  3. Step 3: Cross multiply
    21,027x = 45,990 × 45,990
  4. Step 4: Simplify right side
    21,027x = 2,115,080,100
  5. Step 5: Solve for x
    x = 2,115,080,100/21,027
  6. Step 6: Final answer
    x = 100,588.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.