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Finding the Third Proportional to 120,205.50 and 180,326.25

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Solution

The third proportional to 120,205.50 and 180,326.25 is: 270,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,205.50 : 180,326.25 = 180,326.25 : x
  2. Step 2: Convert to fraction form
    120,205.50/180,326.25 = 180,326.25/x
  3. Step 3: Cross multiply
    120,205.50x = 180,326.25 × 180,326.25
  4. Step 4: Simplify right side
    120,205.50x = 32,517,556,439.06
  5. Step 5: Solve for x
    x = 32,517,556,439.06/120,205.50
  6. Step 6: Final answer
    x = 270,516.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.