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Finding the Third Proportional to 213,115 and 492,085

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Solution

The third proportional to 213,115 and 492,085 is: 1,136,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,115 : 492,085 = 492,085 : x
  2. Step 2: Convert to fraction form
    213,115/492,085 = 492,085/x
  3. Step 3: Cross multiply
    213,115x = 492,085 × 492,085
  4. Step 4: Simplify right side
    213,115x = 242,147,647,225
  5. Step 5: Solve for x
    x = 242,147,647,225/213,115
  6. Step 6: Final answer
    x = 1,136,229.96

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.