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Finding the Third Proportional to 179,388 and 391,824

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Solution

The third proportional to 179,388 and 391,824 is: 855,832.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,388 : 391,824 = 391,824 : x
  2. Step 2: Convert to fraction form
    179,388/391,824 = 391,824/x
  3. Step 3: Cross multiply
    179,388x = 391,824 × 391,824
  4. Step 4: Simplify right side
    179,388x = 153,526,046,976
  5. Step 5: Solve for x
    x = 153,526,046,976/179,388
  6. Step 6: Final answer
    x = 855,832.31

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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.