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Finding the Third Proportional to 356,340 and 768,375

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Solution

The third proportional to 356,340 and 768,375 is: 1,656,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,340 : 768,375 = 768,375 : x
  2. Step 2: Convert to fraction form
    356,340/768,375 = 768,375/x
  3. Step 3: Cross multiply
    356,340x = 768,375 × 768,375
  4. Step 4: Simplify right side
    356,340x = 590,400,140,625
  5. Step 5: Solve for x
    x = 590,400,140,625/356,340
  6. Step 6: Final answer
    x = 1,656,844.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.