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Finding the Third Proportional to 300,621.38 and 449,474.06

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Solution

The third proportional to 300,621.38 and 449,474.06 is: 672,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,621.38 : 449,474.06 = 449,474.06 : x
  2. Step 2: Convert to fraction form
    300,621.38/449,474.06 = 449,474.06/x
  3. Step 3: Cross multiply
    300,621.38x = 449,474.06 × 449,474.06
  4. Step 4: Simplify right side
    300,621.38x = 202,026,932,860.25
  5. Step 5: Solve for x
    x = 202,026,932,860.25/300,621.38
  6. Step 6: Final answer
    x = 672,031.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.