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Finding the Third Proportional to 392,121 and 859,005

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Solution

The third proportional to 392,121 and 859,005 is: 1,881,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,121 : 859,005 = 859,005 : x
  2. Step 2: Convert to fraction form
    392,121/859,005 = 859,005/x
  3. Step 3: Cross multiply
    392,121x = 859,005 × 859,005
  4. Step 4: Simplify right side
    392,121x = 737,889,590,025
  5. Step 5: Solve for x
    x = 737,889,590,025/392,121
  6. Step 6: Final answer
    x = 1,881,790.54

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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.