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Finding the Third Proportional to 345,204 and 738,387

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Solution

The third proportional to 345,204 and 738,387 is: 1,579,400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,204 : 738,387 = 738,387 : x
  2. Step 2: Convert to fraction form
    345,204/738,387 = 738,387/x
  3. Step 3: Cross multiply
    345,204x = 738,387 × 738,387
  4. Step 4: Simplify right side
    345,204x = 545,215,361,769
  5. Step 5: Solve for x
    x = 545,215,361,769/345,204
  6. Step 6: Final answer
    x = 1,579,400.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.