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Finding the Third Proportional to 206,878 and 301,326

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Solution

The third proportional to 206,878 and 301,326 is: 438,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,878 : 301,326 = 301,326 : x
  2. Step 2: Convert to fraction form
    206,878/301,326 = 301,326/x
  3. Step 3: Cross multiply
    206,878x = 301,326 × 301,326
  4. Step 4: Simplify right side
    206,878x = 90,797,358,276
  5. Step 5: Solve for x
    x = 90,797,358,276/206,878
  6. Step 6: Final answer
    x = 438,893.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.