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Finding the Third Proportional to 147,821 and 225,420

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Solution

The third proportional to 147,821 and 225,420 is: 343,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,821 : 225,420 = 225,420 : x
  2. Step 2: Convert to fraction form
    147,821/225,420 = 225,420/x
  3. Step 3: Cross multiply
    147,821x = 225,420 × 225,420
  4. Step 4: Simplify right side
    147,821x = 50,814,176,400
  5. Step 5: Solve for x
    x = 50,814,176,400/147,821
  6. Step 6: Final answer
    x = 343,754.79

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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.