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Finding the Third Proportional to 339,812 and 738,696

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Solution

The third proportional to 339,812 and 738,696 is: 1,605,804.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,812 : 738,696 = 738,696 : x
  2. Step 2: Convert to fraction form
    339,812/738,696 = 738,696/x
  3. Step 3: Cross multiply
    339,812x = 738,696 × 738,696
  4. Step 4: Simplify right side
    339,812x = 545,671,780,416
  5. Step 5: Solve for x
    x = 545,671,780,416/339,812
  6. Step 6: Final answer
    x = 1,605,804.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.