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Finding the Third Proportional to 228,200 and 343,008

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Solution

The third proportional to 228,200 and 343,008 is: 515,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,200 : 343,008 = 343,008 : x
  2. Step 2: Convert to fraction form
    228,200/343,008 = 343,008/x
  3. Step 3: Cross multiply
    228,200x = 343,008 × 343,008
  4. Step 4: Simplify right side
    228,200x = 117,654,488,064
  5. Step 5: Solve for x
    x = 117,654,488,064/228,200
  6. Step 6: Final answer
    x = 515,576.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.