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Finding the Third Proportional to 356,139 and 768,456

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Solution

The third proportional to 356,139 and 768,456 is: 1,658,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,139 : 768,456 = 768,456 : x
  2. Step 2: Convert to fraction form
    356,139/768,456 = 768,456/x
  3. Step 3: Cross multiply
    356,139x = 768,456 × 768,456
  4. Step 4: Simplify right side
    356,139x = 590,524,623,936
  5. Step 5: Solve for x
    x = 590,524,623,936/356,139
  6. Step 6: Final answer
    x = 1,658,129.62

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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.