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Finding the Third Proportional to 91,097 and 200,128

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Solution

The third proportional to 91,097 and 200,128 is: 439,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,097 : 200,128 = 200,128 : x
  2. Step 2: Convert to fraction form
    91,097/200,128 = 200,128/x
  3. Step 3: Cross multiply
    91,097x = 200,128 × 200,128
  4. Step 4: Simplify right side
    91,097x = 40,051,216,384
  5. Step 5: Solve for x
    x = 40,051,216,384/91,097
  6. Step 6: Final answer
    x = 439,654.61

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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.