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Finding the Third Proportional to 118,851 and 172,921

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Solution

The third proportional to 118,851 and 172,921 is: 251,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,851 : 172,921 = 172,921 : x
  2. Step 2: Convert to fraction form
    118,851/172,921 = 172,921/x
  3. Step 3: Cross multiply
    118,851x = 172,921 × 172,921
  4. Step 4: Simplify right side
    118,851x = 29,901,672,241
  5. Step 5: Solve for x
    x = 29,901,672,241/118,851
  6. Step 6: Final answer
    x = 251,589.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.