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Finding the Third Proportional to 177,402 and 394,164

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Solution

The third proportional to 177,402 and 394,164 is: 875,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,402 : 394,164 = 394,164 : x
  2. Step 2: Convert to fraction form
    177,402/394,164 = 394,164/x
  3. Step 3: Cross multiply
    177,402x = 394,164 × 394,164
  4. Step 4: Simplify right side
    177,402x = 155,365,258,896
  5. Step 5: Solve for x
    x = 155,365,258,896/177,402
  6. Step 6: Final answer
    x = 875,780.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.