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Finding the Third Proportional to 354,636 and 768,253

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Solution

The third proportional to 354,636 and 768,253 is: 1,664,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,636 : 768,253 = 768,253 : x
  2. Step 2: Convert to fraction form
    354,636/768,253 = 768,253/x
  3. Step 3: Cross multiply
    354,636x = 768,253 × 768,253
  4. Step 4: Simplify right side
    354,636x = 590,212,672,009
  5. Step 5: Solve for x
    x = 590,212,672,009/354,636
  6. Step 6: Final answer
    x = 1,664,277.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.