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Finding the Third Proportional to 392,708 and 847,192

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Solution

The third proportional to 392,708 and 847,192 is: 1,827,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,708 : 847,192 = 847,192 : x
  2. Step 2: Convert to fraction form
    392,708/847,192 = 847,192/x
  3. Step 3: Cross multiply
    392,708x = 847,192 × 847,192
  4. Step 4: Simplify right side
    392,708x = 717,734,284,864
  5. Step 5: Solve for x
    x = 717,734,284,864/392,708
  6. Step 6: Final answer
    x = 1,827,653.84

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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.