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Finding the Third Proportional to 13,822.25 and 20,802.75

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Solution

The third proportional to 13,822.25 and 20,802.75 is: 31,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.25 : 20,802.75 = 20,802.75 : x
  2. Step 2: Convert to fraction form
    13,822.25/20,802.75 = 20,802.75/x
  3. Step 3: Cross multiply
    13,822.25x = 20,802.75 × 20,802.75
  4. Step 4: Simplify right side
    13,822.25x = 432,754,407.56
  5. Step 5: Solve for x
    x = 432,754,407.56/13,822.25
  6. Step 6: Final answer
    x = 31,308.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.