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Finding the Third Proportional to 31,519 and 67,817

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Solution

The third proportional to 31,519 and 67,817 is: 145,916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,519 : 67,817 = 67,817 : x
  2. Step 2: Convert to fraction form
    31,519/67,817 = 67,817/x
  3. Step 3: Cross multiply
    31,519x = 67,817 × 67,817
  4. Step 4: Simplify right side
    31,519x = 4,599,145,489
  5. Step 5: Solve for x
    x = 4,599,145,489/31,519
  6. Step 6: Final answer
    x = 145,916.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.