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Finding the Third Proportional to 305,541 and 638,946

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Solution

The third proportional to 305,541 and 638,946 is: 1,336,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,541 : 638,946 = 638,946 : x
  2. Step 2: Convert to fraction form
    305,541/638,946 = 638,946/x
  3. Step 3: Cross multiply
    305,541x = 638,946 × 638,946
  4. Step 4: Simplify right side
    305,541x = 408,251,990,916
  5. Step 5: Solve for x
    x = 408,251,990,916/305,541
  6. Step 6: Final answer
    x = 1,336,161.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.