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Finding the Third Proportional to 15,419 and 17,039

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Solution

The third proportional to 15,419 and 17,039 is: 18,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,419 : 17,039 = 17,039 : x
  2. Step 2: Convert to fraction form
    15,419/17,039 = 17,039/x
  3. Step 3: Cross multiply
    15,419x = 17,039 × 17,039
  4. Step 4: Simplify right side
    15,419x = 290,327,521
  5. Step 5: Solve for x
    x = 290,327,521/15,419
  6. Step 6: Final answer
    x = 18,829.21

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.