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Finding the Third Proportional to 36,969 and 81,312

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Solution

The third proportional to 36,969 and 81,312 is: 178,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,969 : 81,312 = 81,312 : x
  2. Step 2: Convert to fraction form
    36,969/81,312 = 81,312/x
  3. Step 3: Cross multiply
    36,969x = 81,312 × 81,312
  4. Step 4: Simplify right side
    36,969x = 6,611,641,344
  5. Step 5: Solve for x
    x = 6,611,641,344/36,969
  6. Step 6: Final answer
    x = 178,842.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.