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Finding the Third Proportional to 79,611 and 173,985

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Solution

The third proportional to 79,611 and 173,985 is: 380,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,611 : 173,985 = 173,985 : x
  2. Step 2: Convert to fraction form
    79,611/173,985 = 173,985/x
  3. Step 3: Cross multiply
    79,611x = 173,985 × 173,985
  4. Step 4: Simplify right side
    79,611x = 30,270,780,225
  5. Step 5: Solve for x
    x = 30,270,780,225/79,611
  6. Step 6: Final answer
    x = 380,233.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.