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Finding the Third Proportional to 351,916 and 782,344

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Solution

The third proportional to 351,916 and 782,344 is: 1,739,227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,916 : 782,344 = 782,344 : x
  2. Step 2: Convert to fraction form
    351,916/782,344 = 782,344/x
  3. Step 3: Cross multiply
    351,916x = 782,344 × 782,344
  4. Step 4: Simplify right side
    351,916x = 612,062,134,336
  5. Step 5: Solve for x
    x = 612,062,134,336/351,916
  6. Step 6: Final answer
    x = 1,739,227.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.