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Finding the Third Proportional to 8,419 and 13,036

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Solution

The third proportional to 8,419 and 13,036 is: 20,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419 : 13,036 = 13,036 : x
  2. Step 2: Convert to fraction form
    8,419/13,036 = 13,036/x
  3. Step 3: Cross multiply
    8,419x = 13,036 × 13,036
  4. Step 4: Simplify right side
    8,419x = 169,937,296
  5. Step 5: Solve for x
    x = 169,937,296/8,419
  6. Step 6: Final answer
    x = 20,184.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.