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Finding the Third Proportional to 13,704.19 and 30,952.76

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Solution

The third proportional to 13,704.19 and 30,952.76 is: 69,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.19 : 30,952.76 = 30,952.76 : x
  2. Step 2: Convert to fraction form
    13,704.19/30,952.76 = 30,952.76/x
  3. Step 3: Cross multiply
    13,704.19x = 30,952.76 × 30,952.76
  4. Step 4: Simplify right side
    13,704.19x = 958,073,216.20
  5. Step 5: Solve for x
    x = 958,073,216.20/13,704.19
  6. Step 6: Final answer
    x = 69,910.98

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.