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Finding the Third Proportional to 328,338 and 471,771

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Solution

The third proportional to 328,338 and 471,771 is: 677,862.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,338 : 471,771 = 471,771 : x
  2. Step 2: Convert to fraction form
    328,338/471,771 = 471,771/x
  3. Step 3: Cross multiply
    328,338x = 471,771 × 471,771
  4. Step 4: Simplify right side
    328,338x = 222,567,876,441
  5. Step 5: Solve for x
    x = 222,567,876,441/328,338
  6. Step 6: Final answer
    x = 677,862.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.