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Finding the Third Proportional to 91,128 and 200,196

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Solution

The third proportional to 91,128 and 200,196 is: 439,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,128 : 200,196 = 200,196 : x
  2. Step 2: Convert to fraction form
    91,128/200,196 = 200,196/x
  3. Step 3: Cross multiply
    91,128x = 200,196 × 200,196
  4. Step 4: Simplify right side
    91,128x = 40,078,438,416
  5. Step 5: Solve for x
    x = 40,078,438,416/91,128
  6. Step 6: Final answer
    x = 439,803.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.