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Finding the Third Proportional to 129,597.75 and 269,538.75

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Solution

The third proportional to 129,597.75 and 269,538.75 is: 560,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,597.75 : 269,538.75 = 269,538.75 : x
  2. Step 2: Convert to fraction form
    129,597.75/269,538.75 = 269,538.75/x
  3. Step 3: Cross multiply
    129,597.75x = 269,538.75 × 269,538.75
  4. Step 4: Simplify right side
    129,597.75x = 72,651,137,751.56
  5. Step 5: Solve for x
    x = 72,651,137,751.56/129,597.75
  6. Step 6: Final answer
    x = 560,589.50

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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.