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Finding the Third Proportional to 78,267 and 104,853

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Solution

The third proportional to 78,267 and 104,853 is: 140,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,267 : 104,853 = 104,853 : x
  2. Step 2: Convert to fraction form
    78,267/104,853 = 104,853/x
  3. Step 3: Cross multiply
    78,267x = 104,853 × 104,853
  4. Step 4: Simplify right side
    78,267x = 10,994,151,609
  5. Step 5: Solve for x
    x = 10,994,151,609/78,267
  6. Step 6: Final answer
    x = 140,469.82

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.