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Finding the Third Proportional to 99,447.75 and 204,636.38

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Solution

The third proportional to 99,447.75 and 204,636.38 is: 421,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,447.75 : 204,636.38 = 204,636.38 : x
  2. Step 2: Convert to fraction form
    99,447.75/204,636.38 = 204,636.38/x
  3. Step 3: Cross multiply
    99,447.75x = 204,636.38 × 204,636.38
  4. Step 4: Simplify right side
    99,447.75x = 41,876,045,973.14
  5. Step 5: Solve for x
    x = 41,876,045,973.14/99,447.75
  6. Step 6: Final answer
    x = 421,085.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.