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Finding the Third Proportional to 391,488 and 834,219

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Solution

The third proportional to 391,488 and 834,219 is: 1,777,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,488 : 834,219 = 834,219 : x
  2. Step 2: Convert to fraction form
    391,488/834,219 = 834,219/x
  3. Step 3: Cross multiply
    391,488x = 834,219 × 834,219
  4. Step 4: Simplify right side
    391,488x = 695,921,339,961
  5. Step 5: Solve for x
    x = 695,921,339,961/391,488
  6. Step 6: Final answer
    x = 1,777,631.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.