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Finding the Third Proportional to 299,434.50 and 437,469.75

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Solution

The third proportional to 299,434.50 and 437,469.75 is: 639,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,434.50 : 437,469.75 = 437,469.75 : x
  2. Step 2: Convert to fraction form
    299,434.50/437,469.75 = 437,469.75/x
  3. Step 3: Cross multiply
    299,434.50x = 437,469.75 × 437,469.75
  4. Step 4: Simplify right side
    299,434.50x = 191,379,782,165.06
  5. Step 5: Solve for x
    x = 191,379,782,165.06/299,434.50
  6. Step 6: Final answer
    x = 639,137.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.