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Finding the Third Proportional to 392,889 and 857,745

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Solution

The third proportional to 392,889 and 857,745 is: 1,872,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,889 : 857,745 = 857,745 : x
  2. Step 2: Convert to fraction form
    392,889/857,745 = 857,745/x
  3. Step 3: Cross multiply
    392,889x = 857,745 × 857,745
  4. Step 4: Simplify right side
    392,889x = 735,726,485,025
  5. Step 5: Solve for x
    x = 735,726,485,025/392,889
  6. Step 6: Final answer
    x = 1,872,606.47

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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.