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Finding the Third Proportional to 39,602 and 81,715

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Solution

The third proportional to 39,602 and 81,715 is: 168,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,602 : 81,715 = 81,715 : x
  2. Step 2: Convert to fraction form
    39,602/81,715 = 81,715/x
  3. Step 3: Cross multiply
    39,602x = 81,715 × 81,715
  4. Step 4: Simplify right side
    39,602x = 6,677,341,225
  5. Step 5: Solve for x
    x = 6,677,341,225/39,602
  6. Step 6: Final answer
    x = 168,611.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.