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Finding the Third Proportional to 228,217 and 354,765

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Solution

The third proportional to 228,217 and 354,765 is: 551,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,217 : 354,765 = 354,765 : x
  2. Step 2: Convert to fraction form
    228,217/354,765 = 354,765/x
  3. Step 3: Cross multiply
    228,217x = 354,765 × 354,765
  4. Step 4: Simplify right side
    228,217x = 125,858,205,225
  5. Step 5: Solve for x
    x = 125,858,205,225/228,217
  6. Step 6: Final answer
    x = 551,484.79

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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.