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Finding the Third Proportional to 381,780 and 805,356

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Solution

The third proportional to 381,780 and 805,356 is: 1,698,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,780 : 805,356 = 805,356 : x
  2. Step 2: Convert to fraction form
    381,780/805,356 = 805,356/x
  3. Step 3: Cross multiply
    381,780x = 805,356 × 805,356
  4. Step 4: Simplify right side
    381,780x = 648,598,286,736
  5. Step 5: Solve for x
    x = 648,598,286,736/381,780
  6. Step 6: Final answer
    x = 1,698,879.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.