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Finding the Third Proportional to 78,272 and 167,611

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Solution

The third proportional to 78,272 and 167,611 is: 358,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,272 : 167,611 = 167,611 : x
  2. Step 2: Convert to fraction form
    78,272/167,611 = 167,611/x
  3. Step 3: Cross multiply
    78,272x = 167,611 × 167,611
  4. Step 4: Simplify right side
    78,272x = 28,093,447,321
  5. Step 5: Solve for x
    x = 28,093,447,321/78,272
  6. Step 6: Final answer
    x = 358,920.78

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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.