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Finding the Third Proportional to 177,600 and 390,198

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Solution

The third proportional to 177,600 and 390,198 is: 857,288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,600 : 390,198 = 390,198 : x
  2. Step 2: Convert to fraction form
    177,600/390,198 = 390,198/x
  3. Step 3: Cross multiply
    177,600x = 390,198 × 390,198
  4. Step 4: Simplify right side
    177,600x = 152,254,479,204
  5. Step 5: Solve for x
    x = 152,254,479,204/177,600
  6. Step 6: Final answer
    x = 857,288.73

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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.