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Finding the Third Proportional to 391,969 and 858,673

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Solution

The third proportional to 391,969 and 858,673 is: 1,881,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,969 : 858,673 = 858,673 : x
  2. Step 2: Convert to fraction form
    391,969/858,673 = 858,673/x
  3. Step 3: Cross multiply
    391,969x = 858,673 × 858,673
  4. Step 4: Simplify right side
    391,969x = 737,319,320,929
  5. Step 5: Solve for x
    x = 737,319,320,929/391,969
  6. Step 6: Final answer
    x = 1,881,065.39

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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.