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Finding the Third Proportional to 7,749 and 12,819

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Solution

The third proportional to 7,749 and 12,819 is: 21,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749 : 12,819 = 12,819 : x
  2. Step 2: Convert to fraction form
    7,749/12,819 = 12,819/x
  3. Step 3: Cross multiply
    7,749x = 12,819 × 12,819
  4. Step 4: Simplify right side
    7,749x = 164,326,761
  5. Step 5: Solve for x
    x = 164,326,761/7,749
  6. Step 6: Final answer
    x = 21,206.19

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.