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Finding the Third Proportional to 143,821 and 225,121.50

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Solution

The third proportional to 143,821 and 225,121.50 is: 352,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,821 : 225,121.50 = 225,121.50 : x
  2. Step 2: Convert to fraction form
    143,821/225,121.50 = 225,121.50/x
  3. Step 3: Cross multiply
    143,821x = 225,121.50 × 225,121.50
  4. Step 4: Simplify right side
    143,821x = 50,679,689,762.25
  5. Step 5: Solve for x
    x = 50,679,689,762.25/143,821
  6. Step 6: Final answer
    x = 352,380.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.