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Finding the Third Proportional to 21,523 and 47,395

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Solution

The third proportional to 21,523 and 47,395 is: 104,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523 : 47,395 = 47,395 : x
  2. Step 2: Convert to fraction form
    21,523/47,395 = 47,395/x
  3. Step 3: Cross multiply
    21,523x = 47,395 × 47,395
  4. Step 4: Simplify right side
    21,523x = 2,246,286,025
  5. Step 5: Solve for x
    x = 2,246,286,025/21,523
  6. Step 6: Final answer
    x = 104,366.77

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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.