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Finding the Third Proportional to 228,164 and 354,690

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Solution

The third proportional to 228,164 and 354,690 is: 551,379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,164 : 354,690 = 354,690 : x
  2. Step 2: Convert to fraction form
    228,164/354,690 = 354,690/x
  3. Step 3: Cross multiply
    228,164x = 354,690 × 354,690
  4. Step 4: Simplify right side
    228,164x = 125,804,996,100
  5. Step 5: Solve for x
    x = 125,804,996,100/228,164
  6. Step 6: Final answer
    x = 551,379.69

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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.