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Finding the Third Proportional to 143,820 and 225,120

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Solution

The third proportional to 143,820 and 225,120 is: 352,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,820 : 225,120 = 225,120 : x
  2. Step 2: Convert to fraction form
    143,820/225,120 = 225,120/x
  3. Step 3: Cross multiply
    143,820x = 225,120 × 225,120
  4. Step 4: Simplify right side
    143,820x = 50,679,014,400
  5. Step 5: Solve for x
    x = 50,679,014,400/143,820
  6. Step 6: Final answer
    x = 352,378.07

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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.