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Finding the Third Proportional to 78,879 and 114,717

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Solution

The third proportional to 78,879 and 114,717 is: 166,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,879 : 114,717 = 114,717 : x
  2. Step 2: Convert to fraction form
    78,879/114,717 = 114,717/x
  3. Step 3: Cross multiply
    78,879x = 114,717 × 114,717
  4. Step 4: Simplify right side
    78,879x = 13,159,990,089
  5. Step 5: Solve for x
    x = 13,159,990,089/78,879
  6. Step 6: Final answer
    x = 166,837.69

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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.