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Finding the Third Proportional to 21,419 and 45,631

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Solution

The third proportional to 21,419 and 45,631 is: 97,212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,419 : 45,631 = 45,631 : x
  2. Step 2: Convert to fraction form
    21,419/45,631 = 45,631/x
  3. Step 3: Cross multiply
    21,419x = 45,631 × 45,631
  4. Step 4: Simplify right side
    21,419x = 2,082,188,161
  5. Step 5: Solve for x
    x = 2,082,188,161/21,419
  6. Step 6: Final answer
    x = 97,212.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.