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Finding the Third Proportional to 108,400 and 228,608

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Solution

The third proportional to 108,400 and 228,608 is: 482,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,400 : 228,608 = 228,608 : x
  2. Step 2: Convert to fraction form
    108,400/228,608 = 228,608/x
  3. Step 3: Cross multiply
    108,400x = 228,608 × 228,608
  4. Step 4: Simplify right side
    108,400x = 52,261,617,664
  5. Step 5: Solve for x
    x = 52,261,617,664/108,400
  6. Step 6: Final answer
    x = 482,118.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.