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Finding the Third Proportional to 177,028 and 389,047

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Solution

The third proportional to 177,028 and 389,047 is: 854,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,028 : 389,047 = 389,047 : x
  2. Step 2: Convert to fraction form
    177,028/389,047 = 389,047/x
  3. Step 3: Cross multiply
    177,028x = 389,047 × 389,047
  4. Step 4: Simplify right side
    177,028x = 151,357,568,209
  5. Step 5: Solve for x
    x = 151,357,568,209/177,028
  6. Step 6: Final answer
    x = 854,992.25

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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.