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Finding the Third Proportional to 303,821 and 654,387

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Solution

The third proportional to 303,821 and 654,387 is: 1,409,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,821 : 654,387 = 654,387 : x
  2. Step 2: Convert to fraction form
    303,821/654,387 = 654,387/x
  3. Step 3: Cross multiply
    303,821x = 654,387 × 654,387
  4. Step 4: Simplify right side
    303,821x = 428,222,345,769
  5. Step 5: Solve for x
    x = 428,222,345,769/303,821
  6. Step 6: Final answer
    x = 1,409,456.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.