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Finding the Third Proportional to 13,517 and 20,788.25

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Solution

The third proportional to 13,517 and 20,788.25 is: 31,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517 : 20,788.25 = 20,788.25 : x
  2. Step 2: Convert to fraction form
    13,517/20,788.25 = 20,788.25/x
  3. Step 3: Cross multiply
    13,517x = 20,788.25 × 20,788.25
  4. Step 4: Simplify right side
    13,517x = 432,151,338.06
  5. Step 5: Solve for x
    x = 432,151,338.06/13,517
  6. Step 6: Final answer
    x = 31,970.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.