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Finding the Third Proportional to 387,767 and 820,244

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Solution

The third proportional to 387,767 and 820,244 is: 1,735,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,767 : 820,244 = 820,244 : x
  2. Step 2: Convert to fraction form
    387,767/820,244 = 820,244/x
  3. Step 3: Cross multiply
    387,767x = 820,244 × 820,244
  4. Step 4: Simplify right side
    387,767x = 672,800,219,536
  5. Step 5: Solve for x
    x = 672,800,219,536/387,767
  6. Step 6: Final answer
    x = 1,735,063.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.