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Finding the Third Proportional to 354,608 and 768,292

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Solution

The third proportional to 354,608 and 768,292 is: 1,664,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,608 : 768,292 = 768,292 : x
  2. Step 2: Convert to fraction form
    354,608/768,292 = 768,292/x
  3. Step 3: Cross multiply
    354,608x = 768,292 × 768,292
  4. Step 4: Simplify right side
    354,608x = 590,272,597,264
  5. Step 5: Solve for x
    x = 590,272,597,264/354,608
  6. Step 6: Final answer
    x = 1,664,577.78

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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.