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Finding the Third Proportional to 102,021.50 and 143,414.75

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Solution

The third proportional to 102,021.50 and 143,414.75 is: 201,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,021.50 : 143,414.75 = 143,414.75 : x
  2. Step 2: Convert to fraction form
    102,021.50/143,414.75 = 143,414.75/x
  3. Step 3: Cross multiply
    102,021.50x = 143,414.75 × 143,414.75
  4. Step 4: Simplify right side
    102,021.50x = 20,567,790,517.56
  5. Step 5: Solve for x
    x = 20,567,790,517.56/102,021.50
  6. Step 6: Final answer
    x = 201,602.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.