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Finding the Third Proportional to 326,940 and 439,356

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Solution

The third proportional to 326,940 and 439,356 is: 590,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,940 : 439,356 = 439,356 : x
  2. Step 2: Convert to fraction form
    326,940/439,356 = 439,356/x
  3. Step 3: Cross multiply
    326,940x = 439,356 × 439,356
  4. Step 4: Simplify right side
    326,940x = 193,033,694,736
  5. Step 5: Solve for x
    x = 193,033,694,736/326,940
  6. Step 6: Final answer
    x = 590,425.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.