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Finding the Third Proportional to 177,028 and 389,048

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Solution

The third proportional to 177,028 and 389,048 is: 854,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,028 : 389,048 = 389,048 : x
  2. Step 2: Convert to fraction form
    177,028/389,048 = 389,048/x
  3. Step 3: Cross multiply
    177,028x = 389,048 × 389,048
  4. Step 4: Simplify right side
    177,028x = 151,358,346,304
  5. Step 5: Solve for x
    x = 151,358,346,304/177,028
  6. Step 6: Final answer
    x = 854,996.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.