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Finding the Third Proportional to 78,902 and 169,834

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Solution

The third proportional to 78,902 and 169,834 is: 365,562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,902 : 169,834 = 169,834 : x
  2. Step 2: Convert to fraction form
    78,902/169,834 = 169,834/x
  3. Step 3: Cross multiply
    78,902x = 169,834 × 169,834
  4. Step 4: Simplify right side
    78,902x = 28,843,587,556
  5. Step 5: Solve for x
    x = 28,843,587,556/78,902
  6. Step 6: Final answer
    x = 365,562.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.