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Finding the Third Proportional to 147,811 and 225,407

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Solution

The third proportional to 147,811 and 225,407 is: 343,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,811 : 225,407 = 225,407 : x
  2. Step 2: Convert to fraction form
    147,811/225,407 = 225,407/x
  3. Step 3: Cross multiply
    147,811x = 225,407 × 225,407
  4. Step 4: Simplify right side
    147,811x = 50,808,315,649
  5. Step 5: Solve for x
    x = 50,808,315,649/147,811
  6. Step 6: Final answer
    x = 343,738.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.