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Finding the Third Proportional to 91,096.88 and 200,128.69

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Solution

The third proportional to 91,096.88 and 200,128.69 is: 439,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,096.88 : 200,128.69 = 200,128.69 : x
  2. Step 2: Convert to fraction form
    91,096.88/200,128.69 = 200,128.69/x
  3. Step 3: Cross multiply
    91,096.88x = 200,128.69 × 200,128.69
  4. Step 4: Simplify right side
    91,096.88x = 40,051,491,560.47
  5. Step 5: Solve for x
    x = 40,051,491,560.47/91,096.88
  6. Step 6: Final answer
    x = 439,658.24

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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.