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Finding the Third Proportional to 391,994 and 858,718

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Solution

The third proportional to 391,994 and 858,718 is: 1,881,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,994 : 858,718 = 858,718 : x
  2. Step 2: Convert to fraction form
    391,994/858,718 = 858,718/x
  3. Step 3: Cross multiply
    391,994x = 858,718 × 858,718
  4. Step 4: Simplify right side
    391,994x = 737,396,603,524
  5. Step 5: Solve for x
    x = 737,396,603,524/391,994
  6. Step 6: Final answer
    x = 1,881,142.58

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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.