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Finding the Third Proportional to 177,346 and 389,144

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Solution

The third proportional to 177,346 and 389,144 is: 853,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,346 : 389,144 = 389,144 : x
  2. Step 2: Convert to fraction form
    177,346/389,144 = 389,144/x
  3. Step 3: Cross multiply
    177,346x = 389,144 × 389,144
  4. Step 4: Simplify right side
    177,346x = 151,433,052,736
  5. Step 5: Solve for x
    x = 151,433,052,736/177,346
  6. Step 6: Final answer
    x = 853,884.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.