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Finding the Third Proportional to 78,173 and 159,115

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Solution

The third proportional to 78,173 and 159,115 is: 323,866.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,173 : 159,115 = 159,115 : x
  2. Step 2: Convert to fraction form
    78,173/159,115 = 159,115/x
  3. Step 3: Cross multiply
    78,173x = 159,115 × 159,115
  4. Step 4: Simplify right side
    78,173x = 25,317,583,225
  5. Step 5: Solve for x
    x = 25,317,583,225/78,173
  6. Step 6: Final answer
    x = 323,866.08

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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.