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Finding the Third Proportional to 351,760 and 782,272

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Solution

The third proportional to 351,760 and 782,272 is: 1,739,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,760 : 782,272 = 782,272 : x
  2. Step 2: Convert to fraction form
    351,760/782,272 = 782,272/x
  3. Step 3: Cross multiply
    351,760x = 782,272 × 782,272
  4. Step 4: Simplify right side
    351,760x = 611,949,481,984
  5. Step 5: Solve for x
    x = 611,949,481,984/351,760
  6. Step 6: Final answer
    x = 1,739,678.99

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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.