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Finding the Third Proportional to 92,680 and 202,349

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Solution

The third proportional to 92,680 and 202,349 is: 441,790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,680 : 202,349 = 202,349 : x
  2. Step 2: Convert to fraction form
    92,680/202,349 = 202,349/x
  3. Step 3: Cross multiply
    92,680x = 202,349 × 202,349
  4. Step 4: Simplify right side
    92,680x = 40,945,117,801
  5. Step 5: Solve for x
    x = 40,945,117,801/92,680
  6. Step 6: Final answer
    x = 441,790.22

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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.