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Finding the Third Proportional to 356,349 and 768,399

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Solution

The third proportional to 356,349 and 768,399 is: 1,656,906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,349 : 768,399 = 768,399 : x
  2. Step 2: Convert to fraction form
    356,349/768,399 = 768,399/x
  3. Step 3: Cross multiply
    356,349x = 768,399 × 768,399
  4. Step 4: Simplify right side
    356,349x = 590,437,023,201
  5. Step 5: Solve for x
    x = 590,437,023,201/356,349
  6. Step 6: Final answer
    x = 1,656,906.64

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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.