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Finding the Third Proportional to 15,019 and 21,205

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Solution

The third proportional to 15,019 and 21,205 is: 29,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,019 : 21,205 = 21,205 : x
  2. Step 2: Convert to fraction form
    15,019/21,205 = 21,205/x
  3. Step 3: Cross multiply
    15,019x = 21,205 × 21,205
  4. Step 4: Simplify right side
    15,019x = 449,652,025
  5. Step 5: Solve for x
    x = 449,652,025/15,019
  6. Step 6: Final answer
    x = 29,938.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.