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Finding the Third Proportional to 13,020.75 and 18,969.19

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Solution

The third proportional to 13,020.75 and 18,969.19 is: 27,635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.75 : 18,969.19 = 18,969.19 : x
  2. Step 2: Convert to fraction form
    13,020.75/18,969.19 = 18,969.19/x
  3. Step 3: Cross multiply
    13,020.75x = 18,969.19 × 18,969.19
  4. Step 4: Simplify right side
    13,020.75x = 359,830,074.41
  5. Step 5: Solve for x
    x = 359,830,074.41/13,020.75
  6. Step 6: Final answer
    x = 27,635.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.