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Finding the Third Proportional to 21,579 and 48,179

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Solution

The third proportional to 21,579 and 48,179 is: 107,568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,579 : 48,179 = 48,179 : x
  2. Step 2: Convert to fraction form
    21,579/48,179 = 48,179/x
  3. Step 3: Cross multiply
    21,579x = 48,179 × 48,179
  4. Step 4: Simplify right side
    21,579x = 2,321,216,041
  5. Step 5: Solve for x
    x = 2,321,216,041/21,579
  6. Step 6: Final answer
    x = 107,568.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.