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Finding the Third Proportional to 13,830.75 and 33,301.13

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Solution

The third proportional to 13,830.75 and 33,301.13 is: 80,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.75 : 33,301.13 = 33,301.13 : x
  2. Step 2: Convert to fraction form
    13,830.75/33,301.13 = 33,301.13/x
  3. Step 3: Cross multiply
    13,830.75x = 33,301.13 × 33,301.13
  4. Step 4: Simplify right side
    13,830.75x = 1,108,964,926.27
  5. Step 5: Solve for x
    x = 1,108,964,926.27/13,830.75
  6. Step 6: Final answer
    x = 80,181.11

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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.