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Finding the Third Proportional to 303,799 and 654,343

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Solution

The third proportional to 303,799 and 654,343 is: 1,409,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,799 : 654,343 = 654,343 : x
  2. Step 2: Convert to fraction form
    303,799/654,343 = 654,343/x
  3. Step 3: Cross multiply
    303,799x = 654,343 × 654,343
  4. Step 4: Simplify right side
    303,799x = 428,164,761,649
  5. Step 5: Solve for x
    x = 428,164,761,649/303,799
  6. Step 6: Final answer
    x = 1,409,368.57

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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.