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Finding the Third Proportional to 309,601.13 and 412,846.88

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Solution

The third proportional to 309,601.13 and 412,846.88 is: 550,523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,601.13 : 412,846.88 = 412,846.88 : x
  2. Step 2: Convert to fraction form
    309,601.13/412,846.88 = 412,846.88/x
  3. Step 3: Cross multiply
    309,601.13x = 412,846.88 × 412,846.88
  4. Step 4: Simplify right side
    309,601.13x = 170,442,542,197.27
  5. Step 5: Solve for x
    x = 170,442,542,197.27/309,601.13
  6. Step 6: Final answer
    x = 550,523.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.