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Finding the Third Proportional to 3,212 and 7,729

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Solution

The third proportional to 3,212 and 7,729 is: 18,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212 : 7,729 = 7,729 : x
  2. Step 2: Convert to fraction form
    3,212/7,729 = 7,729/x
  3. Step 3: Cross multiply
    3,212x = 7,729 × 7,729
  4. Step 4: Simplify right side
    3,212x = 59,737,441
  5. Step 5: Solve for x
    x = 59,737,441/3,212
  6. Step 6: Final answer
    x = 18,598.21

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.