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Finding the Third Proportional to 380,268 and 820,800

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Solution

The third proportional to 380,268 and 820,800 is: 1,771,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,268 : 820,800 = 820,800 : x
  2. Step 2: Convert to fraction form
    380,268/820,800 = 820,800/x
  3. Step 3: Cross multiply
    380,268x = 820,800 × 820,800
  4. Step 4: Simplify right side
    380,268x = 673,712,640,000
  5. Step 5: Solve for x
    x = 673,712,640,000/380,268
  6. Step 6: Final answer
    x = 1,771,678.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.