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Finding the Third Proportional to 177,333 and 389,118

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Solution

The third proportional to 177,333 and 389,118 is: 853,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,333 : 389,118 = 389,118 : x
  2. Step 2: Convert to fraction form
    177,333/389,118 = 389,118/x
  3. Step 3: Cross multiply
    177,333x = 389,118 × 389,118
  4. Step 4: Simplify right side
    177,333x = 151,412,817,924
  5. Step 5: Solve for x
    x = 151,412,817,924/177,333
  6. Step 6: Final answer
    x = 853,833.28

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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.