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Finding the Third Proportional to 355,121 and 762,946

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Solution

The third proportional to 355,121 and 762,946 is: 1,639,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,121 : 762,946 = 762,946 : x
  2. Step 2: Convert to fraction form
    355,121/762,946 = 762,946/x
  3. Step 3: Cross multiply
    355,121x = 762,946 × 762,946
  4. Step 4: Simplify right side
    355,121x = 582,086,598,916
  5. Step 5: Solve for x
    x = 582,086,598,916/355,121
  6. Step 6: Final answer
    x = 1,639,121.87

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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.