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Finding the Third Proportional to 37,586 and 82,948

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Solution

The third proportional to 37,586 and 82,948 is: 183,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,586 : 82,948 = 82,948 : x
  2. Step 2: Convert to fraction form
    37,586/82,948 = 82,948/x
  3. Step 3: Cross multiply
    37,586x = 82,948 × 82,948
  4. Step 4: Simplify right side
    37,586x = 6,880,370,704
  5. Step 5: Solve for x
    x = 6,880,370,704/37,586
  6. Step 6: Final answer
    x = 183,056.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.