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Finding the Third Proportional to 91,815 and 194,655

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Solution

The third proportional to 91,815 and 194,655 is: 412,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,815 : 194,655 = 194,655 : x
  2. Step 2: Convert to fraction form
    91,815/194,655 = 194,655/x
  3. Step 3: Cross multiply
    91,815x = 194,655 × 194,655
  4. Step 4: Simplify right side
    91,815x = 37,890,569,025
  5. Step 5: Solve for x
    x = 37,890,569,025/91,815
  6. Step 6: Final answer
    x = 412,683.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.