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Finding the Third Proportional to 38,403 and 79,873

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Solution

The third proportional to 38,403 and 79,873 is: 166,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,403 : 79,873 = 79,873 : x
  2. Step 2: Convert to fraction form
    38,403/79,873 = 79,873/x
  3. Step 3: Cross multiply
    38,403x = 79,873 × 79,873
  4. Step 4: Simplify right side
    38,403x = 6,379,696,129
  5. Step 5: Solve for x
    x = 6,379,696,129/38,403
  6. Step 6: Final answer
    x = 166,124.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.