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Finding the Third Proportional to 354,708 and 769,698

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Solution

The third proportional to 354,708 and 769,698 is: 1,670,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,708 : 769,698 = 769,698 : x
  2. Step 2: Convert to fraction form
    354,708/769,698 = 769,698/x
  3. Step 3: Cross multiply
    354,708x = 769,698 × 769,698
  4. Step 4: Simplify right side
    354,708x = 592,435,011,204
  5. Step 5: Solve for x
    x = 592,435,011,204/354,708
  6. Step 6: Final answer
    x = 1,670,204.82

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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.