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Finding the Third Proportional to 12,923.38 and 19,969.19

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Solution

The third proportional to 12,923.38 and 19,969.19 is: 30,856.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.38 : 19,969.19 = 19,969.19 : x
  2. Step 2: Convert to fraction form
    12,923.38/19,969.19 = 19,969.19/x
  3. Step 3: Cross multiply
    12,923.38x = 19,969.19 × 19,969.19
  4. Step 4: Simplify right side
    12,923.38x = 398,768,527.41
  5. Step 5: Solve for x
    x = 398,768,527.41/12,923.38
  6. Step 6: Final answer
    x = 30,856.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.