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Finding the Third Proportional to 96,140 and 204,790

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Solution

The third proportional to 96,140 and 204,790 is: 436,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,140 : 204,790 = 204,790 : x
  2. Step 2: Convert to fraction form
    96,140/204,790 = 204,790/x
  3. Step 3: Cross multiply
    96,140x = 204,790 × 204,790
  4. Step 4: Simplify right side
    96,140x = 41,938,944,100
  5. Step 5: Solve for x
    x = 41,938,944,100/96,140
  6. Step 6: Final answer
    x = 436,227.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.