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Finding the Third Proportional to 177,604 and 390,204

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Solution

The third proportional to 177,604 and 390,204 is: 857,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,604 : 390,204 = 390,204 : x
  2. Step 2: Convert to fraction form
    177,604/390,204 = 390,204/x
  3. Step 3: Cross multiply
    177,604x = 390,204 × 390,204
  4. Step 4: Simplify right side
    177,604x = 152,259,161,616
  5. Step 5: Solve for x
    x = 152,259,161,616/177,604
  6. Step 6: Final answer
    x = 857,295.79

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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.