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Finding the Third Proportional to 224,775 and 479,196

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Solution

The third proportional to 224,775 and 479,196 is: 1,021,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,775 : 479,196 = 479,196 : x
  2. Step 2: Convert to fraction form
    224,775/479,196 = 479,196/x
  3. Step 3: Cross multiply
    224,775x = 479,196 × 479,196
  4. Step 4: Simplify right side
    224,775x = 229,628,806,416
  5. Step 5: Solve for x
    x = 229,628,806,416/224,775
  6. Step 6: Final answer
    x = 1,021,594.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.