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Finding the Third Proportional to 92,790 and 203,313

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Solution

The third proportional to 92,790 and 203,313 is: 445,480.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,790 : 203,313 = 203,313 : x
  2. Step 2: Convert to fraction form
    92,790/203,313 = 203,313/x
  3. Step 3: Cross multiply
    92,790x = 203,313 × 203,313
  4. Step 4: Simplify right side
    92,790x = 41,336,175,969
  5. Step 5: Solve for x
    x = 41,336,175,969/92,790
  6. Step 6: Final answer
    x = 445,480.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.