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Finding the Third Proportional to 78,840 and 168,723

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Solution

The third proportional to 78,840 and 168,723 is: 361,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,840 : 168,723 = 168,723 : x
  2. Step 2: Convert to fraction form
    78,840/168,723 = 168,723/x
  3. Step 3: Cross multiply
    78,840x = 168,723 × 168,723
  4. Step 4: Simplify right side
    78,840x = 28,467,450,729
  5. Step 5: Solve for x
    x = 28,467,450,729/78,840
  6. Step 6: Final answer
    x = 361,078.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.