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Finding the Third Proportional to 78,800 and 168,673

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Solution

The third proportional to 78,800 and 168,673 is: 361,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,800 : 168,673 = 168,673 : x
  2. Step 2: Convert to fraction form
    78,800/168,673 = 168,673/x
  3. Step 3: Cross multiply
    78,800x = 168,673 × 168,673
  4. Step 4: Simplify right side
    78,800x = 28,450,580,929
  5. Step 5: Solve for x
    x = 28,450,580,929/78,800
  6. Step 6: Final answer
    x = 361,047.98

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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.