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Finding the Third Proportional to 351,856 and 766,864

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Solution

The third proportional to 351,856 and 766,864 is: 1,671,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,856 : 766,864 = 766,864 : x
  2. Step 2: Convert to fraction form
    351,856/766,864 = 766,864/x
  3. Step 3: Cross multiply
    351,856x = 766,864 × 766,864
  4. Step 4: Simplify right side
    351,856x = 588,080,394,496
  5. Step 5: Solve for x
    x = 588,080,394,496/351,856
  6. Step 6: Final answer
    x = 1,671,366.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.