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Finding the Third Proportional to 399,796 and 858,878

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Solution

The third proportional to 399,796 and 858,878 is: 1,845,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,796 : 858,878 = 858,878 : x
  2. Step 2: Convert to fraction form
    399,796/858,878 = 858,878/x
  3. Step 3: Cross multiply
    399,796x = 858,878 × 858,878
  4. Step 4: Simplify right side
    399,796x = 737,671,418,884
  5. Step 5: Solve for x
    x = 737,671,418,884/399,796
  6. Step 6: Final answer
    x = 1,845,119.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.