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Finding the Third Proportional to 205,915 and 451,196

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Solution

The third proportional to 205,915 and 451,196 is: 988,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,915 : 451,196 = 451,196 : x
  2. Step 2: Convert to fraction form
    205,915/451,196 = 451,196/x
  3. Step 3: Cross multiply
    205,915x = 451,196 × 451,196
  4. Step 4: Simplify right side
    205,915x = 203,577,830,416
  5. Step 5: Solve for x
    x = 203,577,830,416/205,915
  6. Step 6: Final answer
    x = 988,649.83

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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.