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Finding the Third Proportional to 78,169.50 and 159,099

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Solution

The third proportional to 78,169.50 and 159,099 is: 323,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,169.50 : 159,099 = 159,099 : x
  2. Step 2: Convert to fraction form
    78,169.50/159,099 = 159,099/x
  3. Step 3: Cross multiply
    78,169.50x = 159,099 × 159,099
  4. Step 4: Simplify right side
    78,169.50x = 25,312,491,801
  5. Step 5: Solve for x
    x = 25,312,491,801/78,169.50
  6. Step 6: Final answer
    x = 323,815.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.