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Finding the Third Proportional to 328,326 and 706,872

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Solution

The third proportional to 328,326 and 706,872 is: 1,521,865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,326 : 706,872 = 706,872 : x
  2. Step 2: Convert to fraction form
    328,326/706,872 = 706,872/x
  3. Step 3: Cross multiply
    328,326x = 706,872 × 706,872
  4. Step 4: Simplify right side
    328,326x = 499,668,024,384
  5. Step 5: Solve for x
    x = 499,668,024,384/328,326
  6. Step 6: Final answer
    x = 1,521,865.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.