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Finding the Third Proportional to 391,992 and 850,368

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Solution

The third proportional to 391,992 and 850,368 is: 1,844,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,992 : 850,368 = 850,368 : x
  2. Step 2: Convert to fraction form
    391,992/850,368 = 850,368/x
  3. Step 3: Cross multiply
    391,992x = 850,368 × 850,368
  4. Step 4: Simplify right side
    391,992x = 723,125,735,424
  5. Step 5: Solve for x
    x = 723,125,735,424/391,992
  6. Step 6: Final answer
    x = 1,844,746.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.