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Finding the Third Proportional to 393,992 and 870,928

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Solution

The third proportional to 393,992 and 870,928 is: 1,925,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,992 : 870,928 = 870,928 : x
  2. Step 2: Convert to fraction form
    393,992/870,928 = 870,928/x
  3. Step 3: Cross multiply
    393,992x = 870,928 × 870,928
  4. Step 4: Simplify right side
    393,992x = 758,515,581,184
  5. Step 5: Solve for x
    x = 758,515,581,184/393,992
  6. Step 6: Final answer
    x = 1,925,205.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.