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Finding the Third Proportional to 180,237.94 and 280,198.69

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Solution

The third proportional to 180,237.94 and 280,198.69 is: 435,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,237.94 : 280,198.69 = 280,198.69 : x
  2. Step 2: Convert to fraction form
    180,237.94/280,198.69 = 280,198.69/x
  3. Step 3: Cross multiply
    180,237.94x = 280,198.69 × 280,198.69
  4. Step 4: Simplify right side
    180,237.94x = 78,511,304,476.72
  5. Step 5: Solve for x
    x = 78,511,304,476.72/180,237.94
  6. Step 6: Final answer
    x = 435,598.11

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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.