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Finding the Third Proportional to 179,746 and 391,201

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Solution

The third proportional to 179,746 and 391,201 is: 851,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,746 : 391,201 = 391,201 : x
  2. Step 2: Convert to fraction form
    179,746/391,201 = 391,201/x
  3. Step 3: Cross multiply
    179,746x = 391,201 × 391,201
  4. Step 4: Simplify right side
    179,746x = 153,038,222,401
  5. Step 5: Solve for x
    x = 153,038,222,401/179,746
  6. Step 6: Final answer
    x = 851,413.79

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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.