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Finding the Third Proportional to 177,738 and 389,919

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Solution

The third proportional to 177,738 and 389,919 is: 855,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,738 : 389,919 = 389,919 : x
  2. Step 2: Convert to fraction form
    177,738/389,919 = 389,919/x
  3. Step 3: Cross multiply
    177,738x = 389,919 × 389,919
  4. Step 4: Simplify right side
    177,738x = 152,036,826,561
  5. Step 5: Solve for x
    x = 152,036,826,561/177,738
  6. Step 6: Final answer
    x = 855,398.54

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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.