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Finding the Third Proportional to 37,353 and 81,690

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Solution

The third proportional to 37,353 and 81,690 is: 178,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,353 : 81,690 = 81,690 : x
  2. Step 2: Convert to fraction form
    37,353/81,690 = 81,690/x
  3. Step 3: Cross multiply
    37,353x = 81,690 × 81,690
  4. Step 4: Simplify right side
    37,353x = 6,673,256,100
  5. Step 5: Solve for x
    x = 6,673,256,100/37,353
  6. Step 6: Final answer
    x = 178,653.82

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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.