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Finding the Third Proportional to 37,880 and 82,312

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Solution

The third proportional to 37,880 and 82,312 is: 178,861.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,880 : 82,312 = 82,312 : x
  2. Step 2: Convert to fraction form
    37,880/82,312 = 82,312/x
  3. Step 3: Cross multiply
    37,880x = 82,312 × 82,312
  4. Step 4: Simplify right side
    37,880x = 6,775,265,344
  5. Step 5: Solve for x
    x = 6,775,265,344/37,880
  6. Step 6: Final answer
    x = 178,861.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.