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Finding the Third Proportional to 228,242 and 333,909

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Solution

The third proportional to 228,242 and 333,909 is: 488,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,242 : 333,909 = 333,909 : x
  2. Step 2: Convert to fraction form
    228,242/333,909 = 333,909/x
  3. Step 3: Cross multiply
    228,242x = 333,909 × 333,909
  4. Step 4: Simplify right side
    228,242x = 111,495,220,281
  5. Step 5: Solve for x
    x = 111,495,220,281/228,242
  6. Step 6: Final answer
    x = 488,495.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.