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Finding the Third Proportional to 10,469 and 26,821

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Solution

The third proportional to 10,469 and 26,821 is: 68,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469 : 26,821 = 26,821 : x
  2. Step 2: Convert to fraction form
    10,469/26,821 = 26,821/x
  3. Step 3: Cross multiply
    10,469x = 26,821 × 26,821
  4. Step 4: Simplify right side
    10,469x = 719,366,041
  5. Step 5: Solve for x
    x = 719,366,041/10,469
  6. Step 6: Final answer
    x = 68,713.92

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.