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Finding the Third Proportional to 13,333 and 30,866.75

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Solution

The third proportional to 13,333 and 30,866.75 is: 71,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,333 : 30,866.75 = 30,866.75 : x
  2. Step 2: Convert to fraction form
    13,333/30,866.75 = 30,866.75/x
  3. Step 3: Cross multiply
    13,333x = 30,866.75 × 30,866.75
  4. Step 4: Simplify right side
    13,333x = 952,756,255.56
  5. Step 5: Solve for x
    x = 952,756,255.56/13,333
  6. Step 6: Final answer
    x = 71,458.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.