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Finding the Third Proportional to 78,334 and 160,815

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Solution

The third proportional to 78,334 and 160,815 is: 330,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,334 : 160,815 = 160,815 : x
  2. Step 2: Convert to fraction form
    78,334/160,815 = 160,815/x
  3. Step 3: Cross multiply
    78,334x = 160,815 × 160,815
  4. Step 4: Simplify right side
    78,334x = 25,861,464,225
  5. Step 5: Solve for x
    x = 25,861,464,225/78,334
  6. Step 6: Final answer
    x = 330,143.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.