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Finding the Third Proportional to 3,476.67 and 7,645.32

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Solution

The third proportional to 3,476.67 and 7,645.32 is: 16,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.67 : 7,645.32 = 7,645.32 : x
  2. Step 2: Convert to fraction form
    3,476.67/7,645.32 = 7,645.32/x
  3. Step 3: Cross multiply
    3,476.67x = 7,645.32 × 7,645.32
  4. Step 4: Simplify right side
    3,476.67x = 58,450,982.41
  5. Step 5: Solve for x
    x = 58,450,982.41/3,476.67
  6. Step 6: Final answer
    x = 16,812.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.