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Finding the Third Proportional to 392,896 and 857,758

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Solution

The third proportional to 392,896 and 857,758 is: 1,872,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,896 : 857,758 = 857,758 : x
  2. Step 2: Convert to fraction form
    392,896/857,758 = 857,758/x
  3. Step 3: Cross multiply
    392,896x = 857,758 × 857,758
  4. Step 4: Simplify right side
    392,896x = 735,748,786,564
  5. Step 5: Solve for x
    x = 735,748,786,564/392,896
  6. Step 6: Final answer
    x = 1,872,629.87

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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.