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Finding the Third Proportional to 78,041 and 167,919

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Solution

The third proportional to 78,041 and 167,919 is: 361,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,041 : 167,919 = 167,919 : x
  2. Step 2: Convert to fraction form
    78,041/167,919 = 167,919/x
  3. Step 3: Cross multiply
    78,041x = 167,919 × 167,919
  4. Step 4: Simplify right side
    78,041x = 28,196,790,561
  5. Step 5: Solve for x
    x = 28,196,790,561/78,041
  6. Step 6: Final answer
    x = 361,307.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.