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Finding the Third Proportional to 228,137 and 355,100

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Solution

The third proportional to 228,137 and 355,100 is: 552,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,137 : 355,100 = 355,100 : x
  2. Step 2: Convert to fraction form
    228,137/355,100 = 355,100/x
  3. Step 3: Cross multiply
    228,137x = 355,100 × 355,100
  4. Step 4: Simplify right side
    228,137x = 126,096,010,000
  5. Step 5: Solve for x
    x = 126,096,010,000/228,137
  6. Step 6: Final answer
    x = 552,720.56

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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.