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Finding the Third Proportional to 389,892 and 850,248

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Solution

The third proportional to 389,892 and 850,248 is: 1,854,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,892 : 850,248 = 850,248 : x
  2. Step 2: Convert to fraction form
    389,892/850,248 = 850,248/x
  3. Step 3: Cross multiply
    389,892x = 850,248 × 850,248
  4. Step 4: Simplify right side
    389,892x = 722,921,661,504
  5. Step 5: Solve for x
    x = 722,921,661,504/389,892
  6. Step 6: Final answer
    x = 1,854,158.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.