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Finding the Third Proportional to 392,114 and 858,908

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Solution

The third proportional to 392,114 and 858,908 is: 1,881,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,114 : 858,908 = 858,908 : x
  2. Step 2: Convert to fraction form
    392,114/858,908 = 858,908/x
  3. Step 3: Cross multiply
    392,114x = 858,908 × 858,908
  4. Step 4: Simplify right side
    392,114x = 737,722,952,464
  5. Step 5: Solve for x
    x = 737,722,952,464/392,114
  6. Step 6: Final answer
    x = 1,881,399.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.