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Finding the Third Proportional to 339,620 and 738,214

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Solution

The third proportional to 339,620 and 738,214 is: 1,604,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,620 : 738,214 = 738,214 : x
  2. Step 2: Convert to fraction form
    339,620/738,214 = 738,214/x
  3. Step 3: Cross multiply
    339,620x = 738,214 × 738,214
  4. Step 4: Simplify right side
    339,620x = 544,959,909,796
  5. Step 5: Solve for x
    x = 544,959,909,796/339,620
  6. Step 6: Final answer
    x = 1,604,616.66

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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.