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Finding the Third Proportional to 392,556 and 851,496

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Solution

The third proportional to 392,556 and 851,496 is: 1,846,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,556 : 851,496 = 851,496 : x
  2. Step 2: Convert to fraction form
    392,556/851,496 = 851,496/x
  3. Step 3: Cross multiply
    392,556x = 851,496 × 851,496
  4. Step 4: Simplify right side
    392,556x = 725,045,438,016
  5. Step 5: Solve for x
    x = 725,045,438,016/392,556
  6. Step 6: Final answer
    x = 1,846,986.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.