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Finding the Third Proportional to 392,112 and 858,904

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Solution

The third proportional to 392,112 and 858,904 is: 1,881,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,112 : 858,904 = 858,904 : x
  2. Step 2: Convert to fraction form
    392,112/858,904 = 858,904/x
  3. Step 3: Cross multiply
    392,112x = 858,904 × 858,904
  4. Step 4: Simplify right side
    392,112x = 737,716,081,216
  5. Step 5: Solve for x
    x = 737,716,081,216/392,112
  6. Step 6: Final answer
    x = 1,881,391.24

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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.