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Finding the Third Proportional to 228,189 and 354,728

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Solution

The third proportional to 228,189 and 354,728 is: 551,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,189 : 354,728 = 354,728 : x
  2. Step 2: Convert to fraction form
    228,189/354,728 = 354,728/x
  3. Step 3: Cross multiply
    228,189x = 354,728 × 354,728
  4. Step 4: Simplify right side
    228,189x = 125,831,953,984
  5. Step 5: Solve for x
    x = 125,831,953,984/228,189
  6. Step 6: Final answer
    x = 551,437.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.