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Finding the Third Proportional to 21,525 and 47,399

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Solution

The third proportional to 21,525 and 47,399 is: 104,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,525 : 47,399 = 47,399 : x
  2. Step 2: Convert to fraction form
    21,525/47,399 = 47,399/x
  3. Step 3: Cross multiply
    21,525x = 47,399 × 47,399
  4. Step 4: Simplify right side
    21,525x = 2,246,665,201
  5. Step 5: Solve for x
    x = 2,246,665,201/21,525
  6. Step 6: Final answer
    x = 104,374.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.