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Finding the Third Proportional to 228,916 and 354,162

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Solution

The third proportional to 228,916 and 354,162 is: 547,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,916 : 354,162 = 354,162 : x
  2. Step 2: Convert to fraction form
    228,916/354,162 = 354,162/x
  3. Step 3: Cross multiply
    228,916x = 354,162 × 354,162
  4. Step 4: Simplify right side
    228,916x = 125,430,722,244
  5. Step 5: Solve for x
    x = 125,430,722,244/228,916
  6. Step 6: Final answer
    x = 547,933.40

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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.