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Finding the Third Proportional to 41,704.50 and 61,098

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Solution

The third proportional to 41,704.50 and 61,098 is: 89,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,704.50 : 61,098 = 61,098 : x
  2. Step 2: Convert to fraction form
    41,704.50/61,098 = 61,098/x
  3. Step 3: Cross multiply
    41,704.50x = 61,098 × 61,098
  4. Step 4: Simplify right side
    41,704.50x = 3,732,965,604
  5. Step 5: Solve for x
    x = 3,732,965,604/41,704.50
  6. Step 6: Final answer
    x = 89,509.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.