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Finding the Third Proportional to 381,917.25 and 837,281.25

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Solution

The third proportional to 381,917.25 and 837,281.25 is: 1,835,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,917.25 : 837,281.25 = 837,281.25 : x
  2. Step 2: Convert to fraction form
    381,917.25/837,281.25 = 837,281.25/x
  3. Step 3: Cross multiply
    381,917.25x = 837,281.25 × 837,281.25
  4. Step 4: Simplify right side
    381,917.25x = 701,039,891,601.56
  5. Step 5: Solve for x
    x = 701,039,891,601.56/381,917.25
  6. Step 6: Final answer
    x = 1,835,580.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.