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Finding the Third Proportional to 228,181 and 355,165

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Solution

The third proportional to 228,181 and 355,165 is: 552,816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,181 : 355,165 = 355,165 : x
  2. Step 2: Convert to fraction form
    228,181/355,165 = 355,165/x
  3. Step 3: Cross multiply
    228,181x = 355,165 × 355,165
  4. Step 4: Simplify right side
    228,181x = 126,142,177,225
  5. Step 5: Solve for x
    x = 126,142,177,225/228,181
  6. Step 6: Final answer
    x = 552,816.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.