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Finding the Third Proportional to 392,070 and 858,852

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Solution

The third proportional to 392,070 and 858,852 is: 1,881,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,070 : 858,852 = 858,852 : x
  2. Step 2: Convert to fraction form
    392,070/858,852 = 858,852/x
  3. Step 3: Cross multiply
    392,070x = 858,852 × 858,852
  4. Step 4: Simplify right side
    392,070x = 737,626,757,904
  5. Step 5: Solve for x
    x = 737,626,757,904/392,070
  6. Step 6: Final answer
    x = 1,881,364.95

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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.