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Finding the Third Proportional to 353,844 and 520,326

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Solution

The third proportional to 353,844 and 520,326 is: 765,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,844 : 520,326 = 520,326 : x
  2. Step 2: Convert to fraction form
    353,844/520,326 = 520,326/x
  3. Step 3: Cross multiply
    353,844x = 520,326 × 520,326
  4. Step 4: Simplify right side
    353,844x = 270,739,146,276
  5. Step 5: Solve for x
    x = 270,739,146,276/353,844
  6. Step 6: Final answer
    x = 765,137.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.