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Finding the Third Proportional to 303,846 and 654,438

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Solution

The third proportional to 303,846 and 654,438 is: 1,409,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,846 : 654,438 = 654,438 : x
  2. Step 2: Convert to fraction form
    303,846/654,438 = 654,438/x
  3. Step 3: Cross multiply
    303,846x = 654,438 × 654,438
  4. Step 4: Simplify right side
    303,846x = 428,289,095,844
  5. Step 5: Solve for x
    x = 428,289,095,844/303,846
  6. Step 6: Final answer
    x = 1,409,559.76

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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.