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Finding the Third Proportional to 7,749 and 16,739

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Solution

The third proportional to 7,749 and 16,739 is: 36,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749 : 16,739 = 16,739 : x
  2. Step 2: Convert to fraction form
    7,749/16,739 = 16,739/x
  3. Step 3: Cross multiply
    7,749x = 16,739 × 16,739
  4. Step 4: Simplify right side
    7,749x = 280,194,121
  5. Step 5: Solve for x
    x = 280,194,121/7,749
  6. Step 6: Final answer
    x = 36,158.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.