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Finding the Third Proportional to 143,820.50 and 225,120.50

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Solution

The third proportional to 143,820.50 and 225,120.50 is: 352,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,820.50 : 225,120.50 = 225,120.50 : x
  2. Step 2: Convert to fraction form
    143,820.50/225,120.50 = 225,120.50/x
  3. Step 3: Cross multiply
    143,820.50x = 225,120.50 × 225,120.50
  4. Step 4: Simplify right side
    143,820.50x = 50,679,239,520.25
  5. Step 5: Solve for x
    x = 50,679,239,520.25/143,820.50
  6. Step 6: Final answer
    x = 352,378.41

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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.