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Finding the Third Proportional to 78,859 and 168,041

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Solution

The third proportional to 78,859 and 168,041 is: 358,079.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,859 : 168,041 = 168,041 : x
  2. Step 2: Convert to fraction form
    78,859/168,041 = 168,041/x
  3. Step 3: Cross multiply
    78,859x = 168,041 × 168,041
  4. Step 4: Simplify right side
    78,859x = 28,237,777,681
  5. Step 5: Solve for x
    x = 28,237,777,681/78,859
  6. Step 6: Final answer
    x = 358,079.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.