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Finding the Third Proportional to 349,339.50 and 494,415

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Solution

The third proportional to 349,339.50 and 494,415 is: 699,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,339.50 : 494,415 = 494,415 : x
  2. Step 2: Convert to fraction form
    349,339.50/494,415 = 494,415/x
  3. Step 3: Cross multiply
    349,339.50x = 494,415 × 494,415
  4. Step 4: Simplify right side
    349,339.50x = 244,446,192,225
  5. Step 5: Solve for x
    x = 244,446,192,225/349,339.50
  6. Step 6: Final answer
    x = 699,738.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.