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Finding the Third Proportional to 21,903 and 48,005

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Solution

The third proportional to 21,903 and 48,005 is: 105,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,903 : 48,005 = 48,005 : x
  2. Step 2: Convert to fraction form
    21,903/48,005 = 48,005/x
  3. Step 3: Cross multiply
    21,903x = 48,005 × 48,005
  4. Step 4: Simplify right side
    21,903x = 2,304,480,025
  5. Step 5: Solve for x
    x = 2,304,480,025/21,903
  6. Step 6: Final answer
    x = 105,212.99

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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.