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Finding the Third Proportional to 80,284.50 and 189,865.50

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Solution

The third proportional to 80,284.50 and 189,865.50 is: 449,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,284.50 : 189,865.50 = 189,865.50 : x
  2. Step 2: Convert to fraction form
    80,284.50/189,865.50 = 189,865.50/x
  3. Step 3: Cross multiply
    80,284.50x = 189,865.50 × 189,865.50
  4. Step 4: Simplify right side
    80,284.50x = 36,048,908,090.25
  5. Step 5: Solve for x
    x = 36,048,908,090.25/80,284.50
  6. Step 6: Final answer
    x = 449,014.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.