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Finding the Third Proportional to 18,305.95 and 38,069.72

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Solution

The third proportional to 18,305.95 and 38,069.72 is: 79,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,305.95 : 38,069.72 = 38,069.72 : x
  2. Step 2: Convert to fraction form
    18,305.95/38,069.72 = 38,069.72/x
  3. Step 3: Cross multiply
    18,305.95x = 38,069.72 × 38,069.72
  4. Step 4: Simplify right side
    18,305.95x = 1,449,303,485.70
  5. Step 5: Solve for x
    x = 1,449,303,485.70/18,305.95
  6. Step 6: Final answer
    x = 79,171.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.