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Finding the Third Proportional to 3,133.69 and 5,220.28

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Solution

The third proportional to 3,133.69 and 5,220.28 is: 8,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.69 : 5,220.28 = 5,220.28 : x
  2. Step 2: Convert to fraction form
    3,133.69/5,220.28 = 5,220.28/x
  3. Step 3: Cross multiply
    3,133.69x = 5,220.28 × 5,220.28
  4. Step 4: Simplify right side
    3,133.69x = 27,251,336.33
  5. Step 5: Solve for x
    x = 27,251,336.33/3,133.69
  6. Step 6: Final answer
    x = 8,696.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.