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Finding the Third Proportional to 37,786.50 and 81,405

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Solution

The third proportional to 37,786.50 and 81,405 is: 175,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,786.50 : 81,405 = 81,405 : x
  2. Step 2: Convert to fraction form
    37,786.50/81,405 = 81,405/x
  3. Step 3: Cross multiply
    37,786.50x = 81,405 × 81,405
  4. Step 4: Simplify right side
    37,786.50x = 6,626,774,025
  5. Step 5: Solve for x
    x = 6,626,774,025/37,786.50
  6. Step 6: Final answer
    x = 175,374.12

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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.