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Finding the Third Proportional to 143,831 and 223,320

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Solution

The third proportional to 143,831 and 223,320 is: 346,739.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,831 : 223,320 = 223,320 : x
  2. Step 2: Convert to fraction form
    143,831/223,320 = 223,320/x
  3. Step 3: Cross multiply
    143,831x = 223,320 × 223,320
  4. Step 4: Simplify right side
    143,831x = 49,871,822,400
  5. Step 5: Solve for x
    x = 49,871,822,400/143,831
  6. Step 6: Final answer
    x = 346,739.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.