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Finding the Third Proportional to 196,448 and 428,879

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Solution

The third proportional to 196,448 and 428,879 is: 936,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,448 : 428,879 = 428,879 : x
  2. Step 2: Convert to fraction form
    196,448/428,879 = 428,879/x
  3. Step 3: Cross multiply
    196,448x = 428,879 × 428,879
  4. Step 4: Simplify right side
    196,448x = 183,937,196,641
  5. Step 5: Solve for x
    x = 183,937,196,641/196,448
  6. Step 6: Final answer
    x = 936,314.94

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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.