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Finding the Third Proportional to 154,039 and 225,721

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Solution

The third proportional to 154,039 and 225,721 is: 330,760.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,039 : 225,721 = 225,721 : x
  2. Step 2: Convert to fraction form
    154,039/225,721 = 225,721/x
  3. Step 3: Cross multiply
    154,039x = 225,721 × 225,721
  4. Step 4: Simplify right side
    154,039x = 50,949,969,841
  5. Step 5: Solve for x
    x = 50,949,969,841/154,039
  6. Step 6: Final answer
    x = 330,760.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.