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Finding the Third Proportional to 180,286.50 and 280,262.25

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Solution

The third proportional to 180,286.50 and 280,262.25 is: 435,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,286.50 : 280,262.25 = 280,262.25 : x
  2. Step 2: Convert to fraction form
    180,286.50/280,262.25 = 280,262.25/x
  3. Step 3: Cross multiply
    180,286.50x = 280,262.25 × 280,262.25
  4. Step 4: Simplify right side
    180,286.50x = 78,546,928,775.06
  5. Step 5: Solve for x
    x = 78,546,928,775.06/180,286.50
  6. Step 6: Final answer
    x = 435,678.37

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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.