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Finding the Third Proportional to 392,850 and 857,670

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Solution

The third proportional to 392,850 and 857,670 is: 1,872,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,850 : 857,670 = 857,670 : x
  2. Step 2: Convert to fraction form
    392,850/857,670 = 857,670/x
  3. Step 3: Cross multiply
    392,850x = 857,670 × 857,670
  4. Step 4: Simplify right side
    392,850x = 735,597,828,900
  5. Step 5: Solve for x
    x = 735,597,828,900/392,850
  6. Step 6: Final answer
    x = 1,872,464.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.