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Finding the Third Proportional to 93,797 and 204,813

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Solution

The third proportional to 93,797 and 204,813 is: 447,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,797 : 204,813 = 204,813 : x
  2. Step 2: Convert to fraction form
    93,797/204,813 = 204,813/x
  3. Step 3: Cross multiply
    93,797x = 204,813 × 204,813
  4. Step 4: Simplify right side
    93,797x = 41,948,364,969
  5. Step 5: Solve for x
    x = 41,948,364,969/93,797
  6. Step 6: Final answer
    x = 447,225.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.