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Finding the Third Proportional to 344,200 and 483,853.75

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Solution

The third proportional to 344,200 and 483,853.75 is: 680,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,200 : 483,853.75 = 483,853.75 : x
  2. Step 2: Convert to fraction form
    344,200/483,853.75 = 483,853.75/x
  3. Step 3: Cross multiply
    344,200x = 483,853.75 × 483,853.75
  4. Step 4: Simplify right side
    344,200x = 234,114,451,389.06
  5. Step 5: Solve for x
    x = 234,114,451,389.06/344,200
  6. Step 6: Final answer
    x = 680,169.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.