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Finding the Third Proportional to 354,638 and 769,558

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Solution

The third proportional to 354,638 and 769,558 is: 1,669,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,638 : 769,558 = 769,558 : x
  2. Step 2: Convert to fraction form
    354,638/769,558 = 769,558/x
  3. Step 3: Cross multiply
    354,638x = 769,558 × 769,558
  4. Step 4: Simplify right side
    354,638x = 592,219,515,364
  5. Step 5: Solve for x
    x = 592,219,515,364/354,638
  6. Step 6: Final answer
    x = 1,669,926.84

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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.