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Finding the Third Proportional to 16,821 and 27,900

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Solution

The third proportional to 16,821 and 27,900 is: 46,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821 : 27,900 = 27,900 : x
  2. Step 2: Convert to fraction form
    16,821/27,900 = 27,900/x
  3. Step 3: Cross multiply
    16,821x = 27,900 × 27,900
  4. Step 4: Simplify right side
    16,821x = 778,410,000
  5. Step 5: Solve for x
    x = 778,410,000/16,821
  6. Step 6: Final answer
    x = 46,276.08

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.